IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?inoeooo iaoai?ee ?i. N.I. Oeiioaiea

AA?AEOeUeEEE Aieiaeeie? A?eai?iae/

OAeE 531.011

IAE?I?eIA NO?eE?NOUe AAAAOIEAIEIAEO NENOAI C EI*AIIssI, AeEAA?AAIOI?
A?OO?EAOe?? OA EAOANO?IOE NOAOe?IIA?IEO NOAI?A

01.02.01 — oai?aoe/ia iaoai?ea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

aeieoi?a o?ceei-iaoaiaoe/ieo iaoe

Ee?a 1998

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a?inoeooo? iaoai?ee ?i. N.I. Oeiioaiea Iaoe?iiaeueii?
aeaaeai?? iaoe Oe?a?ie ?

a Ee?anueeiio ?inoeooo? cae?cie/iiai o?ainii?oo.Iaoeiaee eiinoeueoaio
-aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Eiaan Eaii?ae A?eai?iae/,

Ee?anueeee ?inoeooo cae?cie/iiai o?ainii?oo,caa?aeoaa/
eaoaae?e.Io?oe?ei? iiiiaioe:aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Aa?a’the A?eoi? ?aaaiiae/,

?inoeooo i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee ?i. ss.N.
I?aeno?eaa/a IAI Oe?a?ie, caa?aeoaa/ a?aeae?eo;

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Ai?? Aaiiaae?e A?eoi?iae/,

Aeiiaoeueeee aea?aeaaiee oi?aa?neoao,

caa?aeoaa/ eaoaae?e;

aeieoi? oaoi?/ieo iaoe, i?ioani?

Aoey?a Aaea??e ?aaiiae/,

Oe?a?inueeee o?ainii?oiee oi?aa?neoao,caa?aeoaa/ eaoaae?e.

I?ia?aeia onoaiiaa -?inoeooo i?eeeaaeii? iaoaiaoeee ? iaoai?ee IAI
Oe?a?ie.

Caoeno a?aeaoaeaoueny “ 29 ” a?oaeiy 1998 ?. i 10 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.166.01 i?e ?inoeooo? iaoai?ee
?i.N.I. Oeiioaiea Iaoe?iiaeueii? aeaaeai?? iaoe Oe?a?ie ca aae?anith:
252057, Ee?a, aoe. Ianoa?iaa, 3. C aeena?oaoe??th iiaeia
iciaeiieoenue a a?ae?ioaoe? ?inoeoooo iaoai?ee ?i.N.I. Oeiioaiea IAI
Oe?a?ie (Ee?a, aoe. Ianoa?iaa, 3).

Aaoi?aoa?ao ?ic?neaii “ 24 ” eenoiiaaea 1998 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee

aeieoi? oaoi?/ieo iaoe, i?ioani? ?.N.*a?ieoaiei

— 20 —

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeena?oaoe?eia ?iaioa i?enay/aia ?ic?iaoe? iiaeo iaoiae?a
aeine?aeaeaiiy no?eeino? aaaaoiaei??ieo aeeiai?/ieo nenoai, ui
iiaeaeththoue aaaaoieaieia? eie?ni? ae?iaae?, a e?eoe/iiio ca I.I.
Eyioiiaei aeiaaeeo iaeiiai ioeueiaiai ei?aiy, iiaoaeia? a?aieoe? iaeano?
no?eeino? a i?inoi?? ia?aiao??a oa c’ynoaaiith iaoai?cio ci?ie
oa?aeoa?o aaciaee a?aieoe? a i?inoi?? ia?aiao??a.

Aeooaeuei?noue ? nooi?iue aeine?aeaeaiino? oaiaoeee aeena?oaoe??.
Iaiao?aei?noue a i?iaaaeaii? aeine?aeaeaiue c oaiaoeee aeena?oaoe??
aeeeeeaia, a ia?oo /a?ao, oe?ieei canoinoaaiiyi a i?aeoeoe? i?iaeooaaiiy
eie?nieo ae?iaae?a (a oiio /ene? a nenoaiao aaoiiaoe/iiai i?iaeooaaiiy)
iaoiae?a aiae?co no?eeino? oa ea?oaaiiy, a oaeiae a iaaeinoaoi?e
?ic?iaoe? a?aeiia?aeieo oai?aoe/ieo canaae oa i?ia?aiiiai caaania/aiiy
(aiae?c noaoe?iia?ieo noai?a i?e ci?i? ea?iaaieo ia?aiao??a, aieea
??ciiai ?iaeo aeaoaeo?a, aecia/aiiy iaai?o oa?aeoa?ieo aioo??oi?o
ia?aiao??a, ci?ia yeeo iiaea i?ecaanoe aei ye?nieo ci?i aeeiai?/ii?
iiaaae?iee nenoaie) — iniaeeai uiaei aaaaoiaei??ieo iae?i?eieo nenoai c
ia?aeeiei noaoe?iia?iei noaiii, yeeie ? ? ?icaeyioo? a aeena?oaoe?ei?e
?iaio? iiaeae? aaaaoieaieiaeo nenoai c ei/aiiyi.

Ia’?eoii aeine?aeaeaiue ? ieinea n+1-eaieiaa oa?i??ii c’?aeiaia nenoaia,
ui yaey? niaith ocaaaeueiaio iiaeaeue aaaaoieaieiaiai aaoiii?caeo. Ia?oa
(aaaeo/a) eaiea ?ooa? n aaaeaieo eaiie. Ia eiaeio c ieo a oi/oe?
eiioaeoo c iii?iith iiaa?oiath /a?ac (i?eaaaeaia) eieani ae??
ne?aeeoth/a neea, ui a?aeiia?aeii aei eiioeaioe?? ?.?iea?a caeaaeeoue
a?ae oae caaiiai eooa aieiaiai a?aeaaaeaiiy ( i?oaeia eieani iiaea aac
eiacaiiy ia?aei/oaaoenue i?ae iaeei eooii aei nai?? ieiueie ? yaeua
aieiaiai a?aeaaaeaiiy).

?. ?iea? noaiaoecoaaa ei/aiiy i?oaeiiai iiaaiaoeea oaeei /eiii, uia
aiii aoiaeeei o ?aiee oai?aoe/ii? iaoai?ee: eieani ?icaeyaea?oueny ye
aaniethoii oaa?aea o?ei, ui ia? aeanoea?noue aieiaiai a?aeaaaeaiiy; aei
aeoeaieo nee aeiaeathoueny neee iii?o aieiaiio a?aeaaaeaiith, oiaoi
iaoai?/ia nenoaia aieiiii?co?oueny.

A aeena?oaoe?ei?e ?iaio? aeei?enoiao?oueny iae?i?eia a?iioaca
a?aeaaaeaiiy, ui a?aeaeaa? iniiai? aeanoeaino? neee iii?o aieiaiio
a?aeaaaeaiith ye ooieoe?? eooa a?aeaaaeaiiy: e?i?ei?noue aeey iaeeo
eoo?a a?aeaaaeaiiy; oa?aeoa? ooieoe?? iane/aiiy aeey aaeeeeo cia/aiue
eoo?a a?aeaaaeaiiy.Oea aeicaiey? i?iaanoe aiae?c aeeiai?/ieo yeinoae
iiaeae? o oe?ieiio eie? iiaeeeaeo cia/aiue ea?iaaieo ia?aiao??a.

Iaeiei c aecia/aeueieo oaeoi??a i?e iiaoaeia? eiino?oeoeaii? noaie
aaaaoieaieiaiai aaoiii?caeo ? eiai “ea?iaai?noue”, neeaaeiaeie yei? ?:
oeyoiaa no?ee?noue a i?yiie?i?eiiio oa e?oaiaeo noaoe?iia?ieo ?aaeeiao,
a oaeiae caeaoi?noue “aienoaaoeny” o a?aeaaaeaiee aaaa?eoiee ei?eaei?.
Iayai? nenoaie aaoiiaoeciaaiiiai i?iaeooaaiiy ua aeaeae? a?ae
aeineiiaeino? ? iio?aaothoue ?icaeiaiiy
i?ia?aiiiai caaania/aiiy uiaei ?ica’ycaiiy caaea/ “aeiaaeueii?”
ea?iaaiino? oa noaa?e?caoe??, ?ic?iaee aeai?eoi?a anaeie?niiai
ea?oaaiiy ? cania?a ?o oanooaaiiy.

Aia?oa ei?aeoi? ?icai?ioo? iae?i?ei? aeeoa?aioe?aeuei? ??aiyiiy ?ooo
ocaaaeueiaii? iiaeae? n+1-eaieiaiai aaoiii?caeo io?eiai? a?aeiinii
iaaeaaii (1984 ?.) E.A. Eiaanii. Aeine?aeaeaiiyi ea?iaaiino?
aaaaoieaieiaeo nenoai o iaeiio ieie? i?yiie?i?eiiai ?ooo (aea i?eaeaoia
e?i?eia a?iioaca a?aeaaaeaiiy) caeiaeenue Eiaan E.A., A?iaeei
E. I., ?/a?noia TH. A., E?a?i I.A., Athiia A.A., Iaeai?i A.A., Oa/aoo?ia
A.A., Oa?ia?i ss.A., Aacai?iaeiaa A.A.,Naoii A.I., Aaeoe?/ A.E., Ellis
J., Vlk F., Slibar A., Mallikarjunarao C., Fancher P., Wong J.V. oa
?io?. I?aenoieii aiae?co oeyoiai? no?eeino? oa aienoaaiino? aeey
iaea?eueo ocaaaeueiaii? iiaeae? aaoiii?caeo aeyaeany ae?ac e?eoe/ii?
oaeaeeino? i?yiie?i?eiiai ?ooo ? cia/aiiy oaciaeo ci?iieo, ui
a?aeiia?aeathoue noaoe?iia?iei e?oaiaei ?ooai aeinoaoiuei aaeeeiai
?aae?ono (Eiaan E.A.).

I?e iae?i?eiiio ?icaeyae? e?eoe/iiio cia/aiith ia?aiao?a oaeaeeino? ia
a?oo?eaoe?ei?e ae?aa?ai? a?aeiia?aea? oi/ea ?icaaeoaeaiiy noaoe?iia?ieo
noai?a (a?oo?eaoe?y “aeaeaeee”). C iaeyaeo ia caaaeuei? iieiaeaiiy
oai??? iniaeeainoae (O?oi?, ?. Oii), ?? ?aae?caoe?y i?e ci?i? iaeiiai
ia?aiao?a iiaeeeaa eeoa ca oiiae neiao??? nenoaie. Ii?ooaiiy neiao???
i?ecaiaeeoue aei ?? cieeiaiiy iaoii?noue c’yaey?oueny oi/ea “cai?ioo”.
Iai/io aaiiao?e/io ea?oeio oeeo ci?i aea? eaoano?ioa “cai?ee”, yea
iaonoaia a i?inoi?? aeaio ia?aiao??a ( o caaaeueiiio aeiaaeeo
ocaaaeueiaia cai?ea O?oi?, yea iio?aao? a?aeiia?aeiiai ca?eueoaiiy
aei??iino? i?inoi?o ia?aiao??a ).

Caaea/a i?i oiiieia?/io no?oeoo?o ?iciiae?eaiiy oaciaiai i?inoi?o
o?a?eoi??yie iae?i?eii? aeeiai?/ii? nenoaie (iae?i?eia a?iioaca
a?aeaaaeaiiy) ?icaeyaeaeany eeoa aeey iiaeae? iaei??? aaaeo/i?
”?aeaaeueii?” eaiee ( Pacejka H.B., Kane T.R., Man G.K., Sachs H.K.,
Chou C.C., Singh M.). Ciaoiaeaeaiiy e?oaiaeo noaoe?iia?ieo noai?a, ui
a?aeiia?aeathoue ne?i/aiiei cia/aiiyi eooa iiai?ioo ea?iaaieo eie?n, oa
aiae?c ?o no?eeino? nie?aeenue ia a?ao?/iee iaoiae (Iaacia? ss.I.). Aoee
a?aenooi? yai? aiae?oe/i? oiiae no?eeino? e?oaiaeo noaoe?iia?ieo noai?a
.

Aaiethoe?th noaoe?iia?ieo noai?a iae?i?eii? aeaieaieiai? oa o?eeaieiai?
iiaeaeae aaoiii?caeo i?e ci?i? iaeiiai ia?aiao?o (eooa iiai?ioo
ea?iaaieo eie?n) /enaeueiei iaoiaeii i?iaeiaaeaiiy ii ia?aiao?o
aiae?coaaee Zeman K., Oa?iiiieuenueea O.?., Aauaiei TH.E., Aa?eeiae/ A.
E. Oi/eai “cai?ioo” ia a?eoe? noaoe?iia?ieo noai?a a?aeiia?aea? ci?ia
no?eeino? e?oaiaiai ?aaeeio, yea a?aeaoaa?oueny /a?ac a?oo?eaoe?th
“cai?oee”, oeiiai? i?e ci?i? aaea iaeiiai ia?aiao?a.

Iiaoaeiaa a?oo?eaoe?eii? iiiaeeie — iiiaeeie oi/ie ia ieiuei? ea?iaaieo
ia?aiao??a, iai?eeeaae, iicaeiaaeiuei? oaeaeeino? oeaio?o ian (v) ?
eooa iiai?ioo ea?iaaieo eie?n (), yeei a?aeiia?aeathoue oi/ee
“cai?ioo”, aeaea a iiaio ea?oeio ci?ie oeyoiai? no?eeino? e?oaiaeo
noaoe?iia?ieo noai?a.

Caeeoaeenue ia?icaeiai? oaeiae iaoiaee ye?niiai aiae?co, ye?
aeicaieyee a a?aooaaoe aieea eiino?oeoeaii? noaie, ?nioth/eo aeaoaeo?a
?? neiao??? oa ciai?oieo neeiaeo cao?aiue ia iaeio c nooo?a?oeo a
anieoaoaoe?ei?e i?aeoeoe? oa?aeoa?enoee iiiaeeio noaoe?iia?ieo noai?a
oa oiiae ?o no?eeino?.

Ao?aoa oeyoiai? no?eeino? i?yiie?i?eiiai ?ooo /anoeiaee ? iaea?eueo
i?inoee aeey aiae?co (a?aeiia?aeia iao?eoey e?i?eiiai iaaeeaeaiiy eaaei
iiaea aooe iaea?aeaia ? aecia/ai? oiiae ?nioaaiiy ioeueiaiai aeaniiai
cia/aiiy) aeiaaeie ao?aoe no?eeino? e?oaiaeo noaoe?iia?ieo ?oo?a
aeinoaoiuei aaeeeiai ?aae?ono. A inoaiiueiio aeiaaeeo iaiao?aeii ua
aecia/eoe cia/aiiy oaciaeo ci?iieo a?aeiia?aeieo noaoe?iia?ieo noai?a.
ssnii, ui cia/aiiy e?eoe/ii? oaeaeeino?, yeiio a?aeiia?aea? ao?aoa
oeyoiai? no?eeino? e?oaiaiai ?aaeeio i?e iaeeo eooao iiai?ioo ea?iaaieo
eie?n, ciaoiaeeoueny a iaeiio ieie? e?eoe/ii? oaeaeeino? i?yiie?i?eiiai
?aaeeio. Aecia/aiiy oe??? caeaaeiino? ia ieiuei? ea?iaaieo ia?aiao??a
(v, ) aeaei a eieaeueio ea?oeio caaaeaii? aeua a?oo?eaoe?eii? iiiaeeie a
ieie? e?eoe/ii? oaeaeeino? i?yiie?i?eiiai ?ooo. Iaei?ino?oee aeiaaeie
oe??? caeaaeiino? i?aeoa?/ia ia?aaiea (Troger H., Scheidl R.).

A?oo?eaoe?? noaoe?iia?ieo noai?a a ieie? i?yiie?i?eiiai ?ooo
aeaieaieiai? iiaeae? aeine?aeaeoaaee Eiaan E.A., O?aaao A.A., Eiaaeue/oe
A.A., Troger H., Scheidl R., Stribersky A., Kacani V., Zeman K. oa
?io?. Oa ii oeae /an a?aenooi? caaaeueia iaoiaeieia?y aiae?co
aeeaa?aaioieo a?oo?eaoe?e ? ?aoeaioe iiaoaeiae a?oo?eaoe?eieo iiiaeei a
aiae?oe/iiio aeaeyae? oi/a a aeey aeiaaeeo iaei??? aaaeo/i? eaiee.

Iaaaaeaiee aeua aiae?c oa?aeoa?eco? noai i?iaeaie ? nooi?iue ?ic?iaee ii
oaiaoeoe? aeena?oaoe??.

Oaeei /eiii, ye c oai?aoe/ii?, oae ? c i?aeoe/ii? oi/ie ci?o oaia
aeena?oaoe?eii? ?iaioe, ui i?enay/aia ?ic?iaoe? iaoiae?a aiae?co
k-ia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a aaaaoieaieiaeo nenoai c
ei/aiiyi, ? aeooaeueiith.

?iaioe ?c cacia/aii? oaiaoeee iaeaaeaoue aei ieaiiaeo aeine?aeaeaiue, ui
i?iaiaeyoueny a ?inoeooo? iaoai?ee ?iai? N.I. Oeiioaiea Iaoe?iiaeueii?
aeaaeai?? iaoe Oe?a?ie.

Iaoa ?iaioe iieyaa? a iiaoaeia? iaeanoae noaoe/ii? no?eeino?
k-ia?aiao-?e/ieo n?iae noaoe?iia?ieo noai?a aaaaoieaieiaeo nenoai c
ei/aiiyi ? aecia/aii? oa?aeoa?a aaciaee a?aieoe? (ii I.I. Aaoo?io), a
naia:

1) aecia/aiiy oa?aeoa?ieo iniaeeainoae (eaoano?io iaeneiaeueii
iiaeeeaiai ?aiao) iiaa?oiiue ??aiiaaaeieo noai?a a ieie? e?aoii?
iniaeeai? oi/ee, ui aeieea? a e?eoe/iiio ca I.I. Eyioiiaei aeiaaeeo
iaeiiai ioeueiaiai ei?aiy;

2) iiaoaeiaa a?aeiia?aeieo ?i a?oo?eaoe?eieo iiiaeei oa aeyaeaiiy
iaoai?cio ci?ie

oa?aeoa?o aaciaee a?aieoe? iaeano? no?eeino? a i?inoi?? ia?aiao??a.

Iaaaaeai? iieiaeaiiy
?aae?ciaai? iniaenoi aeena?oaioii.

Iaoeiaa iiaecia ?acoeueoao?a ?iaioe iieyaa?: a ?aeaioeo?eaoe?? eaoano?io
iiaa?oiiue noaoe?iia?ieo noai?a ia iniia? aiae?co ii?yaeeo oi/ee aeioeeo
e?eaeo, ui aecia/athoue noaoe?iia?i? noaie nenoaie, ia ii/aoeo
eii?aeeiao oa a i?iaaaeaii? aiaeia?? i?ae ii?yaeeii ae?iaeaeaiiy
iae?i?eieo /eai?a ii e?eoe/i?e ci?ii?e (e?eoe/iee ca
I.I. Eyioiiaei aeiaaeie iaeiiai ioeueiaiai ei?aiy) ? ?aiaii
a?aeiia?aeii? eaoano?ioe Ak ; o ?ic?iaoe? ?aaoey?iiai iaoiaeo
aiae?oe/ii? iiaoaeiae a?oo?eaoe?eii? iiiaeeie a ieie? o?ee?aoiiai
noaoe?iia?iiai ?aaeeio (i?aeoa?/ia ia?aaiea ia ieiuei? aeaio
ia?aiao??a); o aeyaeai? iaoai?cio ci?ie oa?aeoa?o aaciaee (ca I.I.
Aaoo?iei) o e?eoe/iiio ca I.I. Eyioiiaei aeiaaeeo iaeiiai ioeueiaiai
ei?aiy ia iniia? aiae?co ia?aaoaeiae iniaeeainoae iiaa?oiiue
noaoe?iia?ieo noai?a a?aeiia?aeieo eaoano?io; o ?aae?caoe?? iaaaaeaieo
iaoiae?a aeey iaaiiai eeano aeeiai?/ieo nenoai, ui iiaeaeththoue
aaaaoieaieia? nenoaie c ei/aiiyi aae aei iiaoaeiae a?oo?eaoe?eieo
iiiaeei a yai?e aai ia?aiao?e/i?e oi?iao, ?o a?coae?caoe?? a i?inoi??
aeaio oa o?ueio ia?aiao??a , aecia/aiiy yaieo c oi/ee ci?o aiae?co
aieeao ia?aiao??a ni?aa?aeiioaiue, ui a?aeiia?aeathoue ca oa?aeoa?
aaciaee a?aieoe? iaeano? no?eeino? a i?inoi?? ia?aiao??a ?acoeueoaoe
io?eiai? aia?oa aeey aeaiiiai eeano caaea/.

Oai?aoe/ia oa i?aeoe/ia cia/aiiy iaea?aeaieo o ?iaio? ?acoeueoao?a
iieyaathoue:

— o ni?iuaii? aeai?eoio ciaoiaeaeaiiy oiia no?eeino? a e?eoe/iiio
aeiaaeeo iaeiiai ioeueiaiai ei?aiy i?e aeayeeo iaiaaeaiiyo ia nenoaio ?
iiaeeeaino? iaea?aeaiiy yaieo, c oi/ee ci?o aieeao ia?aiao??a, oiia
no?eeino?;

— o aeyaeaii? caeiiii??iinoae iiaoaeiae a?oo?eaoe?eieo iiiaeei a
ieie? neiao?e/iiai ?ica’ceo a e?eoe/iiio aeiaaeeo iaeiiai ioeueiaiai
ei?aiy oa ci?i? oa?aeoa?o aaciaee a?aieoe? no?eeino? a i?inoi??
ia?aiao??a ca I.I. Aaoo?iei;

— o ?ic?iaoe? iaoiae?a iiaoaeiae a?oo?eaoe?eieo iiiaeei aeai- oa
o?eia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a (ciaeaeai? o yai?e aai
ia?aiao?e/i?e oi?i? a?oo?eaoe?ei? iiiaeeie iiaeooue neoaoaaoe oanoaie
i?e ai?iaaoe?? iaaeeaeaieo iaoiae?a);

— o iiaeeeaino? canoinoaaiiy ?icaeiooeo iaoiae?a aiae?co i?e
i?iaeooaaii?, i?iaiicoaaii? aeeiai?/ii? iiaaae?iee oa iioei?caoe?? (c
oi/ee ci?o no?eeino? oa iiai?ioiino?) ia?aiao??a aaaaoieaieiaeo
aaoiii?cae?a, o?ainii?oieo ?iaio?a aeey aaoiiaoeciaaiiai ae?iaieoeoaa, a
oaeiae ?iaioioaoi?/ieo nenoai niaoe?aeueiiai aeaeo;

— ?ic?iaeai? i?ia?aie, ui ?aae?cothoue /enaeueiee iaoiae iiaoaeiae
a?oo?eaoe?eieo iiiaeei aeey iiaeaeae iaeiieaieiaiai oa aeaieaieiaiai
ae?iaae?a, iiaeooue aooe aeei?enoai? aeey oanooaaiiy aoaeoeaiino?
aeai?eoi?a anaeie?niiai oi?aae?iiy.

?acoeueoaoe aeine?aeaeaiue , ui i?iaaaeai? a aeena?oaoe??, oa?eoee
neeaaeiaith /anoeiith aei ca?o?a i?i iaoeiai-aeine?aei? ?iaioe
a?aeae?eo no?eeino? i?ioean?a ?inoeoooo iaoai?ee ?i. N.I. Oeiioaiea
IAI Oe?a?ie c oaeeo oai:

aeiaia?? ? 274 “Aeine?aeaeaiiy ea?iaaiino?, noaa?e?ciaiino? oa
iiai?ioiino? aaaaoieaieiaeo aaoiii?cae?a”, no?ie aeeiiaiiy 1985?.;
aeiaia?? ? 317 “Aeine?aeaeaiiy no?eeino? aaaaoieaieiaiai aaoiii?caeo a
?aaeei? aaeueioaaiiy”, no?ie aeeiiaiiy 1986 — 1989 ??.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iaoa??aee aeena?oaoe??
aeiiia?aeaeenue ia oaeeo iaoeiaeo eiioa?aioe?yo: ?ani. eiio.”Aeeiai?ea
oaa?aeiai o?ea”(Aeiiaoeuee, 1990 ?.), ”Iiaeaethaaiiy neeaaeieo
iaoai?/ieo nenoai” (Oaoeaio,1991 ?.), V I?aeia?iaeia
iaoeiaa eiioa?aioe?y ?i. aeaaeai?ea I. E?aa/oea (Ee?a, 1996?.),
Oe?a?inueea eiioa?aioe?y “ Iiaeaethaaiiy oa aeine?aeaeaiiy no?eeino?
nenoai (Ee?a, 1994 ?., 1995 ?., 1997 ?.), II I?aeia?iaeia iaoeiai —
oaoi?/ia eiioa?aioe?y “ Aeooaeuei? i?iaeaie ooiaeaiaioaeueieo iaoe”
(Iineaa,1994 ?.).

O caaa?oaiiio aeaeyae? aeena?oaoe?eia ?iaioa aeiiia?aeaeanue ?
iaaiai?thaaeanue ia nai?ia?? a?aeae?eo aeeiai?ee oa no?eeino?
aaaaoiaei??ieo nenoai ?inoeoooo iaoaiaoeee IAI Oe?a?ie (ea??aiee — /e.-
ei?. IAI Oe?a?ie ?.I. Eoeianueeee, Ee?a, 1998 ?.), ia
caaaeueii-?inoeooonueeiio nai?ia?? c iaoai?ee aeaoi?i?aieo nenoai ?
caaaeuei?e iaoai?oe? ?inoeoooo iaoai?ee ?i. N.I. Oeiioaiea IAI Oe?a?ie
(ea??aiee — aeaaeai?e IAI Oe?a?ie I.I. Aocue, Ee?a, 1998 ?.), ia
nai?ia?? a?aeae?eo aeeiai?ee nenoai ?inoeoooo i?eeeaaeieo i?iaeai
iaoaiaoeee ? iaoai?ee IAI Oe?a?ie (ea??aiee — /e.- ei?. IAI Oe?a?ie
N.I. Oa?eaiia, Aeiiaoeuee, 1998 ?.), ia nai?ia?? “Aeeiai?ea oa
ioei?caoe?y ea?iaaieo nenoai” ?inoeoooo i?eeeaaeieo i?iaeai iaoai?ee ?
iaoaiaoeee IAI Oe?a?ie ?i. ss.N. I?aeno?eaa/a (ea??aiee — ae.o.-i.i.,
i?io. A.?. Aa?a’the, Euea?a, 1998 ?.) ? caeiaoea iiceoeaio ioe?ieo.

Ioae?eaoe?? oa iniaenoee aianie caeiaoaa/a. Ca ?acoeueoaoaie
aeena?oaoe?? iioae?eiaaii 51 iaoeiao i?aoeth. Iniiaiee ci?no ?iaioe
a?aeia?aaeaii a ioae?eaoe?yo [1- 22], a oiio /ene? iaei?e iiiia?ao?? (o
ni?aaaoi?noa?). A ?iaio? [1] (aeaae ??? — ?V) oa i?aoeyo [6-20], ye?
iaienai? o ni?aaaoi?noa? c iaoeiaei eiinoeueoaioii, aeieoi?ii o?c.- iao.
iaoe, i?ioani?ii E. A. Eiaanii, ni?aaaoi?o iaeaaeaoue oai?aoe/i?
iieiaeaiiy, ui iieeaaeai? a iniiao iinoaiiaie caaea/, ia?aa??ea oa
iaaiai?aiiy ?acoeueoao?a. Caeiaoaa/ ?ic?iaea i?aeoiaee ? ?ica’ycaa
caaea/?, iiaoaeoaaa aeai?eoie ? io?eiaa /enaeuei? ?acoeueoaoe. A ?iaio?
[21] E.A. Eiaano iaeaaeeoue caaaeueiee caaeoi i?iaaaeaiiy
aeine?aeaeaiue, aea?ae ??aiyiue ?ooo, ae?ac aeey e?eoe/ii? oaeaeeino?,
aaoi?o iaeaaeeoue aiae?oe/ia aeine?aeaeaiiy oiia aeieeiaiiy oeaooa?ii?
ao?aoe no?eeino?, i?iaaaeaiiy /enaeueiiai iiaeaethaaiiy. A ?iaio? [22]
E.A. Eiaano iaeaaeeoue caaaeueiee caaeoi i?iaaaeaiiy aeine?aeaeaiue,
ae?ac aeey e?eoe/ii? oaeaeeino? n+1-eaieiai? nenoaie,
aeine?aeaeaiiy a?oo?eaoe?e a?aie/iiai oeeeeo, A.I. Naoii oa ?.E.
Aa?eeia?/o iaeaaeeoue aenia?eiaioaeueia ia?aa??ea oa iaaiai?aiiy
?acoeueoao?a , aaoi?o iaeaaeeoue aiae?c aeeaa?aaioieo a?oo?eaoe?e.

No?oeoo?a ?iaioe. Aeena?oaoe?eia ?iaioa neeaaea?oueny ?c anooio, oanoe
?icae?e?a, aeniiae?a ? nieneo aeei?enoaii? e?oa?aoo?e ?c 183
iaeiaioaaiue, aeeth/a? 58 ?enoie?a, ?ici?uaieo ia 54 noi??ieao.
Caaaeueiee ia’?i aeena?oaoe?? 252 noi??iee.

Aaoi? aeneiaeth? ue?o iiaeyeo nai?io iaoeiaiio eiinoeueoaioia?,
caa?aeoaa/o eaoaae?e oai?aoe/ii? ? i?eeeaaeii? iaoai?ee Ee?anueeiai
?inoeoooo cae?cie/iiai o?ainii?oo aeieoi?o o?c.-iao. iaoe, i?ioani?o
E.A. Eiaano ca iino?eio oaaao aei ?iaioe ? ei?eni? ii?aaee i?e ??
iaienaii?.

Ei?ioeee ci?no ?iaioe

O anooi? iiaeaii caaaeueio oa?aeoa?enoeeo aeena?oaoe??: ?ice?eoi
nooi?noue ? noai iaoeiai? i?iaeaie; iaa?oioiaaii iaiao?aei?noue
i?iaaaeaiiy aeine?aeaeaiue ? a?aecia/aii aeooaeuei?noue oaie
aeena?oaoe??; noi?ioeueiaaia iaoa ?iaioe; a?aecia/aii iiaecio
iaea?aeaieo ?acoeueoao?a oa ?o oai?aoe/ia ? i?aeoe/ia cia/aiiy.

O ia?oiio ?icae?e? i?iaaaeaii iaeyae e?oa?aoo?e ca oaiith aeena?oaoe??.
Aeacaii ia e?oa?aoo?i? aeaea?aea, ui noinothoueny iniiaieo iai?yie?a
aeine?aeaeaiue aaaaoiaei??ieo aeeiai?/ieo nenoai ?, cie?aia,
aaaaoieaieiaeo nenoai c ei/aiiyi. Cae?i/o?oueny ?icae?e ei?ioeei ?acthia
noiniaii iaiao?aeiino? ?ica’ycaiiy iinoaaeaieo a aeena?oaoe?? ieoaiue ?
noi?ioeueiaai? iniiai? caaea/?.

O ae?oaiio ?icae?e? iiaeaii iaoiae i?eaaaeaiiy nenoaie ne?i/aiieo
??aiyiue, ye? aecia/athoue noaoe?iia?i? noaie n+1 -eaieiaiai aaoiii?caea
aei aea?aaeaioii? nenoaie, ui aeicaiey? aeaeiiiiceoe?th ia n+1
i?aenenoai, iacaeaaeieo a e?i?eiiio iaaeeaeaii? (eiai ?aae?caoe?y ia?
i?noea a ieie? i?yiie?i?eiiai ?ooo). ??aiyiiy, ui aecia/athoue
noaoe?iia?i? noaie n+1-eaieiai? nenoaie ? iiiaioieie oiiaaie ??aiiaaae
aaaeaieo eaiie a?aeiinii aa?oeeaeueii? in? (inue i?ioiaeeoue /a?ac
oi/eo c/aieaiiy c iiia?aaeiueith eaieith). Aei eiaeii? eaiee
i?eeeaaeai? a?aeiia?aei? ?aaeoe?? Yi(i) iii?ii? iiaa?oi? ,
iicaeiaaeiy neea ?ia?oe?? Jk = -ik Jk , Jk = mk uk , aieiaa neea
?ia?oe?? J ’ k = -jk J ’k , Jk = mk vk , neea ?aaeoe?? c aieo
ne?aeoth/i? iicaaeo eaiee . I?e aecia/aii? iiia?a/ieo neeaaeiaeo nee
?aaeoe?e, i?eeeaaeaieo a oi/eao c/aieaiiy iicaaeo a?aeiia?aeii? eaiee,
ia a?aoiaothoueny neeaaeia?, ?iceeaae yeeo a ?yaee ca nooiaiyie ci?iieo
u, , i ii/eia?oueny c /eai?a aeua o?aoueiai ii?yaeeo:

Y’n-1= Jn sinn, Y’ n-2= — Y‘n-1 cn-1 dn-1-1 cosn-1 + (Jn cos n+ J n-1)
sinn-1,

Y’n-3= — Y‘n-2 cn-2 dn-2-1 cosn-2 + [(Jn cos n+ J n-1)cos n-1 +Jn-2]
sinn-2 ,…

Ii/eiath/e c Y’n-1 (a oi/oe? In ), iine?aeiaii aecia/athoueny an?
Y’n-k . Aeey iiia?a/ii? neeaaeiai? neee ?aaeoe?? Y’ = j0 Y’, a oi/oe?
I1 , iaea?aeeii ae?ac :
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Aieiaia /anoeia ?iceeaaeo ooieoe?? Y’(,u,1,…,n ) o ?yae Oaeei?a a
ieie? oi/ee (0,0,…,0) Rn+2 ia? aeaeyae
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(2.1)

C oi/i?noth aei /eai?a ia?oiai ii?yaeeo ciaoiaeeii
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picscalex1000100090000035000000000000e0000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02200220010e00000026060f001200ffffffff00000800
0000c0ffacffe000cc010b00000026060f000c004d61746854797065000050000a000000
26060f000a00ffffffff0100000000000300000000000000000000000000000000000000
00000000000000000000000000000000000000000100 (2.2)

A e?i?eiiio iaaeeaeaii? neea ?aaeoe?? iii?ii? iiaa?oi? Yk+2( k+2), ui
ae?? ia k-oo aaaeaio eaieo, a??aiiaaaeo?oueny iiia?a/iith neeaaeiaith
neee ?ia?oe?? J’k . Ioaea, a noaoe?iia?iiio ?on?
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.
(2.3)

Ae?ac (2.1) iaaoaa? aeaeyaeo
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 . (2.4)

A?aoiaoth/e (2.3), c (2.2) ciaeaeaii
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 (2.5)

I?aenoaaeaoe (2.5) a (2.4), iaea?aeeii

Y’= Y’(u,)+…

Ioaea, caaea/a i?i noaoe?iia?i? noaie ( n +1)-eaieiai? nenoaie c
oi/i?noth aei /eai?a o?aoueiai ii?yaeeo caiaeeoueny aei aiaeia?/ii?
caaea/? aeey i?eaaaeaii? aaaeo/i? eaiee, ia yeo a oi/oe? I1 ae?? neea
Y’ = j0 Y’:
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(2.6)

Ioaea, iaiao?aei? oiiae no?eeino? ioeueiaiai ?ica”yceo nenoaie (2.1) —
(2.3) ii?yaeeo 2(n+1) na?aiaaeathoue c oiiaaie no?eeino? ioeueiaiai
?ica’yceo aeey iiaeae? i?eaaaeaiiai aaaeo/iai caaia (nenoaia ae?oaiai
ii?yaeeo). O neiaie?/iiio caieno a?oo?eaoe?? ia ii/aoeo eii?aeeiao i?e
iaia?a?ai?e ci?i? oaeaeeino? iicaeiaaeiueiai ?ooo
n+1-eaieiai? nenoaie iiaeii i?aaenoaaeoe

O2(n+1),0 + (O12n+1,1 , O22n+1,1 ) O2n+1,1 ,

O2(n+1),0 O2n+1,1 +(O12(n+1),0 , O22(n+1),0 )
,

aea Ip,q — iniaeeaa oi/ea nenoaie. Oa?aeoa?enoe/ia ??aiyiiy a ?? ieie?
ia? p ei?ai?a c a?ae”?iieie ae?enieie /anoeiaie ? q c
aeiaeaoi?ie ( p+q = 2(n+1)) .

E?eoe/iiio cia/aiith ia?aiao?a oaeaeeino? ia a?oo?eaoe?ei?e ae?aa?ai?
a?aeiia?aea? oi/ea ?icaaeoaeaiiy noaoe?iia?ieo noai?a (a?oo?eaoe?y
“aeaeaeee”). A?aeiia?aeii aei caaaeueieo ?acoeueoao?a oai???
iniaeeainoae, ?? ?aae?caoe?y i?e ci?i? iaeiiai ia?aiao?a iiaeeeaa i?e
iayaiino? neiao??? nenoaie. Ao?aoa neiao??? i?ecaiaeeoue aei ??
cieeiaiiy — c’yaeythoueny iaoii?noue oi/ee “cai?ioo”. Iai/io
aaiiao?e/io ea?oeio ci?i, ui aeieeathoue, aea? eaoano?ioa cai?ee.

O o?aoueiio ?icae?e? iiaea?oueny ?aaoey?iee iaoiae iiaoaeiae
a?oo?eaoe?eii? iiiaeeie a ieie? o?ee?aoiiai noaoe?iia?iiai ?aaeeio
aeeiai?/ii? nenoaie

dx / dt = f(x, v, ) ,
(3.1)

aea x R2 , f: R2 R+ R R 2 e v R+ , R , i?e/iio

f(-x, v, -) = — f(x, v ,) i?e an?o v R+ .

sseui f(x, v, ) — aeinoaoiuei aeaaeea ooieoe?y ii ci?ii?e noaio x, oi

.

x1 =ax1+bx2+a30x13+a21x12 x2+a12x1 x22+a 03×23 +a50x15+…

.

x2 =cx1+dx2+b30x13+b21x12 x2+b12x1 x22 + b03x23+b50x15+…

Oae i?e v = vkp iao?eoey nenoaie ??aiyiue e?i?eiiai iaaeeaeaiiy ia?
iaeia ioeueiaa aeania cia/aiiy. Iieacaii, ui iiiaeeia noaoe?iia?ieo
noai?a a ieie? neiao?e/iiai ?ica’yceo nenoaie (3.1) aecia/a?oueny
“oei?i/aiei” ??aiyiiyi

x3 + x + = 0,
(3.2)

aea 0, = (v ); ooieoe?y () oa?aeoa?eco? aneiao??th nenoaie i?e 0.
Ci?ia oa?aeoa?a aaciaee a?aieoe? iaeano? no?eeino? neiao?e/iiai
?ica’yceo iiaea a?aeaooeny eeoa i?e ci?i? ciaeo eiao?oe??ioo (ae?ac
aeey a?ae??ciy?oueny a?ae g3 iino?eiei iiiaeieeii).

Caaaeueiee aeaeyae eiao?oe??io?a aecia/aeueiiai ??aiyiiy nenoaie (3.2)
oaeee:

= ( c- da/b),

= [b3(bb30 — da30 ) + ab2(da21 — bb21 ) +

+ a2b(bb12 — da12 ) +a3(da03 — bb03 )] / b4.

sseui a inoaii?e ae?ac i?aenoaaeoe ni?aa?aeiioaiiy d = cb / a, ui ia?
i?noea a e?eoe/iiio aeiaaeeo, oi c oi/i?noth aei iino?eiiai iiiaeieea
?acoeueoao ni?aiaaea c g3 :

kp=[b3(ab30 -ca30) +ab2(ca21 — ab21) +

+a2b(ab12 — ca12) +a3(ca03 -ab03)]/ab3 .

Uia aecia/eoe iaoai?ci ci?i o aeiaaeeo = 0 ( oiae? g3 = 0) , o?aaa
aei nenoaie (3.2) aeiaeaoe /eaie i’yoiai ii?yaeeo. A e?aoieo oi/eao
iiaa?oi? eaoano?ioe (e?eoe/ia iiiaeeia eaoano?ioe) yeia?ai nenoaie
(3.1) ia?aoai?th?oueny a ioeue ia? i?noea noaoe/ia ci?ia no?eeino?.
?en.3.1, a, a oa ?en.3.2 , a, a ?ethno?othoue iiaoaeiao iiaa?oi?
??aiiaaae ? a?aeiia?aei? ?i a?oo?eaoe?ei? iiiaeeie (/eaie i’yoiai
ii?yaeeo iiaeooue aiineoe iiao ye?noue iaa?oue i?e 0). Iii?e ana,
eieaeueia ea?oeia a?oo?eaoe?eii? iiiaeeie ( 0) aoaea a?aeiia?aeaoe
aeene?ei?iaioi?e iiiaeei? eoa?/iiai ??aiyiiy (3.2).

Aeae? iaaaaeaii aiae?oe/iee i?aeo?ae, ui ?icaeaa? nooi aaiiao?e/iee
iaoiae aiae?co noaoe?iia?ieo noai?a iiaeae? “?aeaaeueiiai” iiiaeeiieiai
ae?iaaeo (ss.I. Iaacia?). Noaoe?iia?iei noaiai
a?aeiia?aeathoue oi/ee ia?aoeio “ia?ooiii?” e?eai? (o ?icaeyiooiio aeua
iaoiae? oe??th “ia?ooiiith” e?eaith aoei ?? iaaeeaeaiiy — eoa?/ia aai
aei /eai?a i”yoiai ii?yaeeo) ? i?yii?, iieiaeaiiy yei? caeaaeeoue a?ae
cia/aiue ia?aiao??a iicaeiaaeiuei? oaeaeeino? oa eooa iiai?ioo ea?iaaieo
eie?n:
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 (3.3)

Aia?oa a ?iaio? [ 8 ] anoaiiaeaii, ui iiiaiaeaeii noaoe?iia?ieo noai?a
i?e ci?i? ia?aiao??a ? aeiaaeueia cai?ea (?en.3.1, a ). A ieie?
i?yiie?i?eiiai ?ooo ?nio? o??eea noaoe?iia?ieo noai?a, iaeei ci?iai
ia?aiao?o (eooa iiai?ioo ea?iaaieo eie?n) iiaea a?aeiia?aeaoe e?ioeaaee
no?eaie noaoe?iia?ieo noai?a ia iiaa?oi? ??aiiaaae — “eaoano?ioa”
noaoe?iia?ieo noai?a . Aaiiao?e/ia i?noea oi/ie a ieiuei? ia?aiao??a,
yeei a?aeiia?aeathoue oe? eaoano?io?/i? ci?ie, ? i?aeoa?/ia ia?aaiea c
oi/eith iiaa?iaiiy (?en.3.1, a). ?? aiae?oe/ia i?aaenoaaeaiiy
?icaeyaea?oueny aeae? (?icae?e 4) .

Ooieoe?th 2 — 1 = G(Y), iaa?iaio ooieoe?? Y=Y(2 — 1), iaea?aeeii ye
??cieoeth aeaio ooieoe?e 2 = G2(Y2) oa 1 = G1(Y1), iaa?iaieo
ii/aoeiaei ooieoe?yi Y1=Y1(1) oa Y2=Y2(2). Oiae? aecia/aeueia
??aiyiiy (3.3) ia?aeaea a oaea:
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(3.4)

Ia a?aei?io a?ae aaiiao?e/iiai iaoiaeo, “ia?ooiia” e?eaa iiaea
ciaoiaeeoenue a aiae?oe/iiio aeaeyae?, ui aea? iiaeeea?noue iaea?aeaoe
oi/i? ?ica”ycee i?e aiae?c? e?oaiaeo noaoe?iia?ieo noai?a. Oae, a
aiae?oe/i?e oi?i? cia/aiiy ?aae?ono iiai?ioo ia? aeaeyae
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 ,

aea
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.

Inoaii? ??aiyiiy iiaea iaoe o?e ?ica’ycee, yeei a?aeiia?aeaoeiooue ye
no?ee?, oae ? iano?ee? noaoe?iia?i? noaie. O aeiaaeeo e?i?eii?
iinoaiiaee ?aae?on caaea?oueny ni?aa?aeiioaiiyi
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.

Iae?i?eiee aiae?oe/iee i?aeo?ae i?eaiaeeoue aei inoaiiuei? oi?ioee,
yeui i?eeiyoe e?i?eio a?iioaco a?aeaaaeaiy

i = Gi(Y )= Y/ki ,

2 — 1 = G(Y) =[(k1 — k2)/k1 k2]Y.

Aeae? aecia/a?oueny i?i?iaeueiee ?aae?on iiai?ioo, yeiio a?aeiia?aea?
no?eeee e?oaiaee noaoe?iia?iee noai ia ??aiiaaaei?e iiaa?oi? cai?ee. A
ia?aiao?e/i?e oi?i? (- 0 (iiai?io a noi?iio ae?? neee) o aeiaaeeo k1 > k2
(?en.4.1, a) ? 0 < 0 (iiai?io a noi?iio, i?ioeeaaeio ae?? neee) o aeiaaeeo k1 < k2 (?en.4.1, a). Cia/aiiy eooa 0 aecia/a?oueny ae?acii 0 = - (2 - 1 )0, aea (2 - 1 )0 - ?ica’ycie ??aiyiiy Y(2 - 1 ) = - Q. ?ica’ycie iiaea aooe iaea?aeaiee a aiae?oe/iiio aeaeyae? i?ney ia?aoiaeo aei iaa?iaieo ooieoe?e 2 = G2(Y) oa 1 = G1(Y): ’ ’ 0 = (2 - 1)0 = G(Q). ’ ’ Iniiai? ni?aa?aeiioaiiy iathoue aeaeyae: picscalex117010009000003630200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02600440190e00000026060f001200ffffffff00000800 0000c0ffacff00190c040b00000026060f000c004d617468547970650000e00008000000 fa0200001000000000000000040000002d0100000500000014026b016600050000001302 6b012f010500000014023d02f3020500000013023d0275040500000014026b01cd0d0500 000013026b01090f0500000014023d024d0f0500000013023d0241100500000014026b01 03120500000013026b01cc120500000014026b01b6140500000013026b017f1505000000 14026b0167170500000013026b01a31815000000fb0280fe000000000000900101000000 0002001054696d6573204e657720526f6d616e004379040000002d01010009000000320a a0022800010000005900c90009000000320aaf010703010000007600ac000a000000320a c603240302000000676cc000690009000000320aa002ab0d010000004d003c0109000000 320aaf01610f010000006100c00009000000320ac6038b0f010000006c00690009000000 320aa002c511010000005900c90009000000320aa0027814010000005900c90009000000 320aa0024517010000004d003c0115000000fb0220ff0000000000009001000000000002 001054696d6573204e657720526f6d616e008002040000002d01020004000000f0010100 09000000320a0003c500010000003100700009000000320a0301ca030100000032007000 09000000320a00034908010000003200700009000000320a0003140b0100000031007000 09000000320a00036212010000003100700009000000320a000323150100000032007000 10000000fb0280fe0000000000009001000000020002001053796d626f6c000004000000 2d01010004000000f001020009000000320aa002ae01010000003d00d30009000000320a a0024b06010000002b00d30009000000320aa0022509010000002d00d30009000000320a a002650c010000002d00d30009000000320aa0024b13010000003d00d30009000000320a a002ff15010000002d00d30015000000fb0280fe00000000000090010000000000020010 54696d6573204e657720526f6d616e004379040000002d01020004000000f00101000900 0000320aa002ad040100000028007c0009000000320aa0029c0b0100000029007c000900 0000320aa0027910010000002c00600009000000320aa002af18010000003b0069001000 0000fb0280fe0000000000009001010000020002001053796d626f6c0000040000002d01 010004000000f001020009000000320aa0021d05010000007100c90009000000320aa002 5107010000006400c00009000000320aa0022a0a010000006400c00017000000fb0280fe 0000000000009001000000cc0002001054696d6573204e657720526f6d616e2043797200 5051040000002d01020004000000f00101000a000000320aa00205110200000020206000 60000a00000026060f000a00ffffffff01000000000010000000fb021000080000000000 bc02000000000102022253797374656d0006040000002d01010004000000f00102000300 000000000000 Y1= Y1(2- 1): Y1(2- 1)=Y1(1) =Y2(2) – M. Cia/aiiy i aecia/a?oueny ??aiyiiyi 0 = -(2-1)0 , aea (2-1)0 - ?ica’ycie ??aiyiiy Y1(2-1)= -Mal-1. A oa?i?iao iaa?iaii? ooieoe?? ia?ii 0 =-G(-Mal-1) . III.0. sseui a=b, oi a ??aiyii? picscalex130010009000003570100000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c024004800a1200000026060f001a00ffffffff00001000 0000c0ffffffbaffffff400a0000fa0300000b00000026060f000c004d61746854797065 0000f00009000000fa02000010000000000000002200040000002d010000050000001402 000240000500000013020002cf010500000014020002600305000000130200023f0a1700 0000fb0200ff0000000000009001010000cc0402001054696d6573204e657720526f6d61 6e2043797200cc64040000002d01010008000000320aeb032f0801000000320008000000 320acc018d0901000000310008000000320aeb030f0101000000310008000000320acc01 0d0101000000320017000000fb0280fe0000000000009001010000cc0402001054696d65 73204e657720526f6d616e2043797200cc64040000002d01020004000000f00101000800 0000320a8b03b50401000000310008000000320a6c01680301000000310008000000320a 8b03500001000000590008000000320a6c01420001000000590010000000fb0280fe0000 000000009001000000020002001053796d626f6c0002040000002d01010004000000f001 020008000000320a8b03b30602000000656408000000320a8b039f05010000002b000800 0000320a6c011d0802000000656408000000320a6c011007010000002d0008000000320a 6c01660502000000657108000000320a6c015204010000002b0008000000320a60023202 010000003d000a00000026060f000a00ffffffff01000000000010000000fb0210000700 00000000bc02000000cc0102022253797374656d00cc040000002d01020004000000f001 01000300000000000000 ci?ii? 1 e 2 eaaei ?icae?eeoe. Aaaaeaii iiao ooieoe?thY= Y(2-1) oaeo, uia picscalex145010009000003eb0100000200150000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c022002a01a0e00000026060f001200ffffffff00000800 0000c0ffacff601acc010b00000026060f000c004d617468547970650000500015000000 fb0280fe0000000000009001010000000002001054696d6573204e657720526f6d616e00 e001040000002d01000009000000320a80012800010000005900cc0009000000320a8001 7b08010000005900cc0009000000320a80018413010000005900cc0015000000fb0220ff 0000000000009001000000000002001054696d6573204e657720526f6d616e0024300400 00002d01010004000000f001000009000000320ae001e100010000003200700009000000 320ae001b605010000003200700009000000320ae0012609010000003100700009000000 320ae001d410010000003100700009000000320ae001f915010000003200700009000000 320ae001f618010000003100700015000000fb0280fe0000000000009001000000000002 001054696d6573204e657720526f6d616e00e001040000002d01000004000000f0010100 09000000320a8001fe01010000003100c00009000000320a80012e0a010000003100c000 09000000320a80018c01010000002800840009000000320a800161060100000029008400 09000000320a8001bc09010000002800840009000000320a80016a110100000029008400 09000000320a80017a1401000000280084000a000000320a80018c1902000000292e8400 600010000000fb0280fe0000000000009001000000020002001053796d626f6c00000400 00002d01010004000000f001000009000000320a8001eb02010000002b00d80009000000 320a80014d07010000003d00d80009000000320a80011b0b010000002b00d80009000000 320a8001180e010000002d00d80009000000320a80015612010000003d00d80009000000 320a8001ee16010000002d00d80010000000fb0280fe0000000000009001010000020002 001053796d626f6c0000040000002d01000004000000f00101000a000000320a80010804 020000006564a800b4000a000000320a8001380c020000006571a800b4000a000000320a 8001340f020000006564a800b40009000000320a8001f314010000006400b40009000000 320a8001fe17010000006400b4000a00000026060f000a00ffffffff0100000000001000 0000fb021000080000000000bc02000000000102022253797374656d0006040000002d01 010004000000f00100000300000000000000 picscalex1000100090000035000000000000e0000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02200220010e00000026060f001200ffffffff00000800 0000c0ffacffe000cc010b00000026060f000c004d61746854797065000050000a000000 26060f000a00ffffffff0100000000000300000000000000000000000000000000000000 00000000000000000000000000000000000000000000 C ia?oiai ??aiyiiy nenoaie (4.2) iaea?aeeii aecia/aeueia ??aiyiiy: picscalex102010009000003020300000300150000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02600440290e00000026060f001200ffffffff00000800 0000c0ffbaff00291a040b00000026060f000c004d617468547970650000e00008000000 fa0200001000000000000000040000002d0100000500000014023d026208050000001302 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01000000000010000000fb021000080000000000bc02000000000102022253797374656d 0006040000002d01010004000000f001020003000000000000000000 Ei?ai? aecia/aeueiiai ??aiyiiy aeacothoue ia a?oo?eaoe?th cai?oee i?e v=v+ , aea noaoe?iia?i? noaie i?e oeueiio ia cieeathoue. O i’yoiio ?icae?e? iaaiaeeoueny aaiiao?e/ia ?ioa?i?aoaoe?y oiia no?eeino? a e?eoe/iiio aeiaaeeo iaeiiai ioeueiaiai ei?aiy i?e aeayeeo iaiaaeaiiyo ia e?i?eio /anoeio. Oea aeicaiey? ia?aeoe a?ae aeiaaeueiiai aiae?co noaoe?iia?ieo noai?a aei eieaeueiiai: k-e?aoiiio noaoe?iia?iiio noaio a?aeiia?aea? k-e?aoiee aeioee e?eaeo, ui ?o aecia/athoue, a ci?ia no?eeino? neiao?e/iiai ?ica’yeo iia’yco?oueny ?c ci?iith ii?yaeeo e?eaeo a aeie?eoe/iiio ? e?eoe/iiio iieiaeaiiyo. Aiae?c iaeneiaeueii iiaeeeaiai ii?yaeeo aeioeeo ia ii/aoeo eii?aeeiao e?eaeo, ui aecia/athoue noaoe?iia?i? noaie nenoaie, aeaco? ia nooi?iue aecia/aeueiiai iie?iiio oa iiiaeeio “nooo?aeo” ia?aiao??a, ui aieeaathoue ia oa?aeoa? (i’yeee - aei?noeee) ao?aoe no?eeino?. Ae?oaa /anoeia i?enay/aia iiaoaeia? a?oo?eaoe?eieo iiiaeei noaoe?iia?ieo noai?a ye aeey neiao?e/ii? iiaeae? ae?iaaeo, oae ? c aeaoaeoaie neiao???. dx / dt = f(x, v, ), (5.1) aea x R2 , f: R2 R+ R R 2 e v R+ , R , i?e/iio f(-x, v, -) = = - f(x, v ,) i?e an?o v R+ . A eii?aeeiaoi?e oi?i? . x1=ax1+bx2+a30x13+a21x1x2+a12x1x22+a 03x23 +a50x15+... , . x2=cx1+dx2+b30x13+b21x12x2+b12x1x22+ 03x23+b50x15+... . No?ee?noue neiao?e/iiai ?ica’yceo aecia/a?oueny ciaeii aaee/eie g3 = (a2 +bc)-3 , aea =a3(a b03 - ca03) +a2b(ca12 - ab12)+ ab2(ab21 - ca21)+ b3(ca30 - ab30). Oae aeeiiothoueny oiiae, ca yeeo ??aiyiiy fi(x1, x2)= 0 (i=1, 2) aecia/athoue ia ieiuei? x1 x2 a ieie? oi/ee (0, 0) e?ea? picscalex121010009000003030300000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c020008001d1200000026060f001a00ffffffff00001000 0000c0ffffffa7ffffffc01c0000a70700000b00000026060f000c004d61746854797065 0000d00109000000fa02000010000000000000002200040000002d010000050000001402 0f02e70f0500000013020f023b1105000000140216061f10050000001302160673111700 0000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d61 6e2043797200cc64040000002d0101000b000000320a7606e819080000002e2e2e202020 202e08000000320a76063a1602000000297808000000320a760633150100000030000800 0000320a7606851401000000280008000000320a7606b81101000000460008000000320a a107e11001000000210008000000320aa107331001000000330008000000320a86056f10 01000000310008000000320a7606fb0c02000000297808000000320a7606f40b01000000 300008000000320a7606460b01000000280008000000320a760671080100000046000800 0000320a7606790601000000290008000000320a7606930402000000287808000000320a 7606380301000000460008000000320a76064c0001000000780009000000320a6f02b019 040000002e2e2e2c08000000320a6f02021602000000297808000000320a6f02fb140100 0000300008000000320a6f024d1401000000280008000000320a6f028011010000004600 08000000320a9a03a91001000000210008000000320a9a03fb0f01000000330008000000 320a7f01371001000000310008000000320a6f02c30c02000000297808000000320a6f02 bc0b01000000300008000000320a6f020e0b01000000280008000000320a6f0255080100 0000460008000000320a6f025d0601000000290008000000320a6f027704020000002878 08000000320a6f02380301000000460008000000320a6f024c0001000000780017000000 fb0200ff0000000000009001010000cc0402001054696d6573204e657720526f6d616e20 43797200cc64040000002d01020004000000f001010008000000320ab605e81701000000 330008000000320ad6065e1701000000310008000000320ab60539140100000029000800 0000320ab605871301000000330008000000320ab605011301000000280008000000320a d606831201000000310008000000320ad6061f0e01000000310008000000320ab605fa0a 01000000290008000000320ab605540a01000000310008000000320ab605d60901000000 280008000000320ad606480901000000320008000000320ad606b7050100000031000800 0000320ad6060f0401000000320008000000320ad606fe0001000000320008000000320a af01b01701000000330008000000320acf02261701000000310008000000320aaf010114 01000000290008000000320aaf014f1301000000330008000000320aaf01c91201000000 280008000000320acf024b1201000000310008000000320acf02e70d0100000031000800 0000320aaf01c20a01000000290008000000320aaf011c0a01000000310008000000320a af019e0901000000280008000000320acf02200901000000310008000000320acf029b05 01000000310008000000320acf02030401000000310008000000320acf02fe0001000000 320010000000fb0280fe0000000000009001000000020002001053796d626f6c00020400 00002d01010004000000f001020008000000320a7606d418010000002b0008000000320a 7606ff0e010000002b0008000000320a76063c07010000003d0008000000320a76060302 010000003d0008000000320a6f029c18010000002b0008000000320a6f02c70e01000000 2b0008000000320a6f022007010000003d0008000000320a6f020302010000003d000a00 000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000 00cc0102022253797374656d00cc040000002d01020004000000f0010100030000000000 0000 (5.2) Eooia? eiao?oe??ioe e?eaeo ? picscalex13001000900000371020000030015000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c02e00300190e00000026060f001200ffffffff0000080 00000c0ffbeffc0189e030b00000026060f000c004d617468547970650000c0000800000 0fa0200001000000000000000040000002d010000050000001402fd01150a05000000130 2fd01090b050000001402fd012b17050000001302fd01371810000000fb0280fe0000000 000009001010000020002001053796d626f6c00ac040000002d01010009000000320a600 22500010000006700990009000000320a6002f50c010000006700990015000000fb0220f f0000000000009001000000000002001054696d6573204e657720526f6d616e007002040 000002d01020004000000f001010009000000320ac002160101000000310070000900000 0320ac002ff03010000003100700009000000320a9301bf0401000000310070000900000 0320ac002f40d010000003200700009000000320ac002001101000000320070000900000 0320a9301d511010000003100700015000000fb0280fe000000000000900100000000000 2001054696d6573204e657720526f6d616e000200040000002d01010004000000f001020 009000000320a60023006010000003000c00009000000320a60024613010000003000c00 010000000fb0280fe0000000000009001000000020002001053796d626f6c00000400000 02d01020004000000f001010009000000320a6002f601010000003d00d30009000000320 a6002ca07010000003d00d30009000000320a60020009010000002d00d30009000000320 a6002e90e010000003d00d30009000000320a6002e014010000003d00d30009000000320 a60021616010000002d00d30015000000fb0280fe0000000000009001010000000002001 054696d6573204e657720526f6d616e007002040000002d01010004000000f0010200090 00000320a60023c03010000004600dc0009000000320a6e01290a010000006100c000090 00000320a8603290a010000006200c00009000000320a60022f10010000004600dc00090 00000320a6e015d17010000006300ac0009000000320a86033f17010000006400c000150 00000fb0220ff0000000000009001000000000002001054696d6573204e657720526f6d6 16e000200040000002d01020004000000f001010009000000320a9301700401000000280 0480009000000320a93012a05010000002900480009000000320a9301861101000000280 0480009000000320a93014012010000002900480015000000fb0280fe000000000000900 1000000000002001054696d6573204e657720526f6d616e007002040000002d010100040 00000f001020009000000320a6002a6050100000028007c0009000000320a6002ea06010 0000029007c0009000000320a6002450b010000002c00600009000000320a6002bc12010 0000028007c0009000000320a600200140100000029007c0009000000320a60026718010 000002e0060000c000000320a6002d50b03000000202020006000600060000a000000260 60f000a00ffffffff01000000000010000000fb021000080000000000bc0200000000010 2022253797374656d0006040000002d01020004000000f00101000300000000000000400 00000400000003ffffe004000000040000000400000003ffffe0000000000 A?aeiinia iieiaeaiiy e?eaeo (5.2) i?e e?eoe/iiio cia/aii? ia?aia?o aecia/athoue eiao?oe??ioe i?e iae?i?eieo /eaiao ?yaeo picscalex122010009000003d3030000030015000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c020008e01e0e00000026060f001200ffffffff0000080 00000c0ffb8ffa01eb8070b00000026060f000c004d617468547970650000d0010800000 0fa0200001000000000000000040000002d0100000500000014020602650605000000130 2060203080500000014021b0688060500000013021b06560815000000fb0280fe0000000 000009001010000000002001054696d6573204e657720526f6d616e002b00040000002d0 1010009000000320a69024c00010000004600dc0009000000320a9d036d0601000000620 0c00009000000320a6902b009010000006100c00009000000320a69026b0b01000000620 0c00009000000320a6902000f010000006100c0000a000000320a6902b91002000000616 2c000c00009000000320a69021a15010000006100c00009000000320a6902da160100000 06100c00009000000320a69024418010000006200c00009000000320a6902771a0100000 06100c00009000000320a6902371c010000006100c00009000000320a7e064c000100000 04600dc0009000000320ab2079c06010000006400c00009000000320a7e06f7090100000 06200c00009000000320a7e06a50b010000006400c00009000000320a7e06520f0100000 06200c0000a000000320a7e06f210020000006364ac00c00009000000320a7e065715010 000006200c00009000000320a7e06fe16010000006300ac0009000000320a7e065018010 000006400c00009000000320a7e069b1a010000006200c00009000000320a7e06421c010 000006300ac0015000000fb0220ff0000000000009001000000000002001054696d65732 04e657720526f6d616e00c084040000002d01020004000000f001010009000000320ac90 21b01010000003100700009000000320a9c01f501010000003300700009000000320af10 24a0701000000340070000a000000320ac902810a0200000033307000700009000000320 abd01480c01000000330070000a000000320ac902d10f020000003231700070000900000 0320abd01561201000000320070000a000000320ac902dd1502000000313270007000090 00000320abd01c31701000000320070000a000000320ac902481b0200000030337000700 009000000320abd01201d010000003300700009000000320ade062901010000003200700 009000000320ab1051802010000003300700009000000320a06079d07010000003400700 00a000000320ade06af0a0200000033307000700009000000320ad205a60c01000000330 070000a000000320ade060a100200000032317000700009000000320ad2059f120100000 0320070000a000000320ade0601160200000031327000700009000000320ad205c317010 00000320070000a000000320ade06531b0200000030337000700009000000320ad205071 d010000003300700015000000fb0280fe0000000000009001000000000002001054696d6 573204e657720526f6d616e002b00040000002d01010004000000f001020009000000320 a69027903010000003000c00009000000320a7401da06010000003600c00009000000320 a6902520e010000003300c00009000000320a69026c14010000003300c00009000000320 a7e069c03010000003000c00009000000320a89051507010000003600c00009000000320 a7e06b00e010000003300c00009000000320a7e06b514010000003300c00015000000fb0 220ff0000000000009001000000000002001054696d6573204e657720526f6d616e00c08 4040000002d01020004000000f001010009000000320a9c0198010100000028004800090 00000320a9c016702010000002900480009000000320ab105bb010100000028004800090 00000320ab1058a02010000002900480015000000fb0280fe00000000000090010000000 00002001054696d6573204e657720526f6d616e002b00040000002d01010004000000f00 1020009000000320a6902ef020100000028007c0009000000320a6902330401000000290 07c0009000000320a69023f080100000028007c000a000000320a6902bd1d02000000292 c7c00600009000000320a7e0612030100000028007c0009000000320a7e0656040100000 029007c0009000000320a7e0692080100000028007c000a000000320a7e06a41d0200000 0292e7c00600010000000fb0280fe0000000000009001000000020002001053796d626f6 c0000040000002d01020004000000f001010009000000320a69021f05010000003d00d30 009000000320a6902d108010000002d00d30009000000320a6902300d010000002b00d30 009000000320a69024b13010000002d00d30009000000320a69025519010000002b00d30 009000000320a7e064205010000003d00d30009000000320a7e062409010000002d00d30 009000000320a7e068e0d010000002b00d30009000000320a7e069413010000002d00d30 009000000320a7e068519010000002b00d3000a00000026060f000a00ffffffff0100000 0000010000000fb021000080000000000bc02000000000102022253797374656d0006040 000002d01010004000000f00102000300000000000000 A e?eoe/iiio aeiaaeeo 1 = 2 d = cb/a . Oiiaith a?oo?eaoe?? ia?iaeaeaiiy aai caa?aaeaiiy ii?yaeeo ne?aeoaaiiy e?eaeo (5.2) a aeie?eoe/iiio ? e?eoe/iiio iieiaeaiiyo ? ( g3 0) g *= (1 - 2)(-) [picscalex146010009000003a6010000020015000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c026002200b0e00000026060f001200ffffffff0000080 00000c0ffbcffe00a1c020b00000026060f000c004d61746854797065000050001500000 0fb0280fe0000000000009001010000000002001054696d6573204e657720526f6d616e0 00000040000002d01000009000000320ac0014c00010000004600dc0009000000320ac00 16306010000004600dc0015000000fb0220ff00000000000090010000000000020010546 96d6573204e657720526f6d616e008102040000002d01010004000000f00100000900000 0320a20022901010000003200700009000000320af300180201000000330070000900000 0320a20023207010000003100700009000000320af3000c0801000000330070001500000 0fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e0 00000040000002d01000004000000f001010009000000320ac0019c03010000003000c00 009000000320ac0019009010000003000c00015000000fb0220ff0000000000009001000 000000002001054696d6573204e657720526f6d616e008102040000002d0101000400000 0f001000009000000320af300bb01010000002800480009000000320af3008a020100000 02900480009000000320af300af07010000002800480009000000320af3007e080100000 02900480015000000fb0280fe0000000000009001000000000002001054696d6573204e6 57720526f6d616e000000040000002d01000004000000f001010009000000320ac001120 30100000028007c0009000000320ac00156040100000029007c0009000000320ac001060 90100000028007c0009000000320ac0014a0a0100000029007c0010000000fb0280fe000 0000000009001000000020002001053796d626f6c0000040000002d01010004000000f00 1000009000000320ac0012a05010000002d00d3000a00000026060f000a00ffffffff010 00000000010000000fb021000080000000000bc02000000000102022253797374656d000 6040000002d01000004000000f0010100030000000000000000000000000000000000000 000000000000000000000] < 0 , (5.3) yea ni?aiaaea? c oiiaith no?eeino? a e?eoe/iiio aeiaaeeo (aeiaaaeaii, ui g3 g* > 0).

Oea aea? iiaeeea?noue iaea?aeaoe yai?, c oi/ee ci?o aieeao ia?aiao??a,
oiiae no?eeino? aeey ?icaeyiooiai eeano caaea/ ? c’ynoaaoe iaoai?ci
ci?ie oa?aeoa?o aaciaee a?aieoe? iaeano? no?eeino? a i?inoi??
ia?aiao??a. A naia, ci?ia oa?aeoa?o aaciaee noi?iaiaeaeo?oueny ci?iith
ii?yaeeo aeioeeo i?ae e?eaeie ia ii/aoeo eii?aeeiao ? ci?iith ii?yaeeo
?o ne?aeoaaiiy. Oae, aeey i?ino?oiai aeiaaeeo (g30) a?oo?eaoe?y
ia?iaeaeaiiy aeaio noaoe?iia?ieo noai?a c neiao?e/iiai ?ica’yceo ?
oiiaith i’yei? ao?aoe no?eeino? ( aacia/ia a?aieoey iaeano? no?eeino? a
i?inoi?? ia?aiao??a); a?oo?eaoe?y ceeooy aeaio noaoe?iia?ieo noai?a c
neiao?e/iei ?ica’yceii ? oiiaith aeinoei? ao?aoe no?eeino? ( iaaacia/ia
a?aieoey iaeano? no?eeino? a i?inoi?? ia?aiao??a). Aeae? oeae iaoai?ci
iia’yco?oueny c ia?aaoaeiaith a?oo?eaoe?eieo iiiaeei a ieie?
neiao?e/iiai ?ica’yceo ci?ia oa?aeoa?o aaciaee, iai?eeeaae, c g3< 0 ia g3 > 0 a?aeaoaa?oueny /a?ac ?aae?caoe?th iniaeeaino?, ui iia’ycaia c
i’yoee?aoiith iniaeeaith oi/eith (“butterfly”). C neiao?e/iei ?ica’yceii
i?e oeueiio ceeaathoueny aea? ia?e iniaeeaeo oi/ie; a?oo?eaoe?eia
iiiaeeia i?e aeie?eoe/ieo cia/aiiyo ia?aiao?a ia? oa?aeoa?iee ia?a??c,
iieacaiee ia ?en.3.2 , a.

Aecia/aiiy oiia i’yei?-aei?noei? ao?aoe no?eeino? i?yiie?i?eiiai ?ooo
ae?iaaeo i?e v = vkp. ??aiyiiy noaoe?iia?ieo noai?a iathoue aeae:
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picscalex1530100090000037b0100000200150000000000050000000902000000000400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Iieeaaeaii v(2 — 1 +23/3 — 13/3 )/ l,

Yi kii — ki3i3/(2i2),

aea ki-aac?ici??iee eiao?oe??io aieiaiai a?aeaaaeaiiy, i- eiao?oe??io
eoeiiiaiai oa?oy. ??aiyiiy, ui aecia/athoue noaoe?iia?i? noaie nenoaie a
ieie? i?yiie?i?eiiai ?ooo, ?

a1 +b2 + a3013 +a0323 +…= 0,

c1 +d2 + b3013 +b0323 +…= 0,

2 = k1 / k2,

1 = 1(v) = — (k1b + v2/g) / (k2a — v2/g).

Eooia? eiao?oe??ioe 1 ? 2 ni?aiaaeathoue i?e

picscalex139010009000003c30100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c020005400d0e00000026060f001200ffffffff00000800
0000c0ffbfff000dbf040b00000026060f000c004d617468547970650000000108000000
fa0200001000000000000000040000002d0100000500000014029d02b706050000001302
9d02170b15000000fb0280fe0000000000009001010000000002001054696d6573204e65
7720526f6d616e000000040000002d01010009000000320a00033400010000007600ac00
09000000320a00038a02010000007600ac0009000000320a01020007010000006b00ac00
09000000320a01023a08010000006b00ac000a000000320a0102a30902000000676cc000
690009000000320a2904d706010000006b00ac0009000000320a29049a09010000006b00
ac0015000000fb0220ff0000000000009001010000000002001054696d6573204e657720
526f6d616e00e001040000002d01020004000000f00101000a000000320a60034a030200
00006b706400700010000000fb0280fe0000000000009001000000020002001053796d62
6f6c0000040000002d01010004000000f001020009000000320a00035001010000003d00
d30009000000320a0003bb04010000003d00d30009000000320a29046d08010000002d00
d30009000000320af401f20501000000e600900009000000320a3904f20501000000e800
900009000000320a1f03f20501000000e700900009000000320af401210b01000000f600
900009000000320a3904210b01000000f800900009000000320a1f03210b01000000f700
900015000000fb0220ff0000000000009001000000000002001054696d6573204e657720
526f6d616e00ac7d040000002d01020004000000f001010009000000320a6102b6070100
00003100700009000000320a6102fe08010000003200700009000000320a89048d070100
00003100700009000000320a89045e0a010000003200700009000000320af000e80b0100
00003100700009000000320af000960c010000003200700009000000320af000460c0100
00002f003d000a00000026060f000a00ffffffff01000000000010000000fb0210000800
00000000bc02000000000102022253797374656d0006040000002d01010004000000f001
02000300000000000000.

I?e v = vkp — 0 ia?ii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b0280fe0000000000009001010000020002001053796d626f6c0000040000002d0100000
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A?aieoey iaeano? no?eeino? a i?inoi?? ia?aiao??a aacia/ia,

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Eiee ki 1(oiae? iiaeeeai ei?enooaaoeny ni?iuaiei ae?acii v(2 — 1)/l),
iiia?aaeiy oiiaa caiaeeoueny aei k112 < k222 ; a k1> k2 ? oiiaith
?nioaaiiy e?eoe/ii? oaeaeeino?. Ioiae aeey caaacia/aiiy i’yei? ao?aoe
no?eeino? iaiao?aeia oiiaa 1 < 2 . Iiaoaeiaa eieaeueii? a?oo?eaoe?eii? iiiaeeie a ieie? i?yiie?i?eiiai ?ooo. Iieeaaeaii =( + 2 - 1)v/l + ... . ??aiyiiy aeey aecia/aiiy iniaeeaeo oi/ie iathoue aeaeyae a00 + a1 + b2 + a3013 + a0323 +...= 0, (5.4) c1 + d2 + b3013 + b0323 +...= 0. Aecia/eii aaee/eio Y ??aiyiiyi Y = Y1(1)=Y2(2). Oiae? c ae?oaiai ??aiyiiy (5.4) , a?aoiaoth/e, ui Yi( i)=ki i(1+ki i-2 i2)-1/2, iaea?aeeii Y = k11 - k1313/(212)+... , Y = k2 2 - k23 23/(2 22)+... . Iaa?iai? caeaaeiino? 1 = 1Y +1‘Y3 +... , 2 = 2Y +2‘Y3 +... , i =1/ki , i’= 1/(2k i i2) (i=1,2) aeicaieythoue aeeo/eoe 1, 2 c ia?oiai ??aiyiiy (5.4), i?ney /iai i?eoiaeeii aei eoa?/iiai ??aiyiiy a?aeiinii Y: Y3 +3pY +2q =0. A ieie? oi/ee (0,0) ieiueie w a?oo?eaoe?eia e?eaa ai?ieneio?oueny i?aeoa?/iith ia?aaieith 2 = w3 +..., w = vkp2/v2 - 1, aea picscalex139010009000003790200000300150000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02000500110e00000026060f001200ffffffff00000800 0000c0ffbbffc010bb040b00000026060f000c004d617468547970650000200108000000 fa0200001000000000000000040000002d0100000500000014025d02c102050000001302 5d0269040500000014025d02b1040500000013025d02b41010000000fb0280fe00000000 00009001010000020002001053796d626f6c0017040000002d01010009000000320ac002 2500010000006700990009000000320ac1018b08010000006a00e60009000000320ac101 940a010000006a00e60009000000320a15047506010000006a00e60009000000320a1504 640b010000006a00e60010000000fb0280fe000000000000900100000002000200105379 6d626f6c0000040000002d01020004000000f001010009000000320ac0027b0101000000 3d00d30009000000320a1504fa08010000002d00d30015000000fb0280fe000000000000 9001000000000002001054696d6573204e657720526f6d616e000200040000002d010100 04000000f001020009000000320acb013503010000003800c0000a000000320ae903d502 020000003237c000c00015000000fb0220ff000000000000900100000000000200105469 6d6573204e657720526f6d616e000002040000002d01020004000000f001010009000000 320a2102ca06010000003100700009000000320a21021208010000003200700009000000 320a21029e09010000003100700009000000320af4001b0a010000003200700009000000 320a2102a70b010000003100700009000000320af400240c010000003200700009000000 320a1501b20d010000003300700009000000320a1501c60e010000003300700009000000 320a75041106010000003100700009000000320a75048807010000003100700009000000 320a48030508010000003200700009000000320a7504eb0a010000003200700009000000 320a7504850c010000003200700009000000320a4803170d010000003200700009000000 320a48030210010000003600700015000000fb0280fe0000000000009001010000000002 001054696d6573204e657720526f6d616e00dab7040000002d01010004000000f0010200 09000000320ac1011406010000006b00ac0009000000320ac1014e07010000006b00ac00 09000000320ac101c90c010000006700c00009000000320ac101310e010000006c006900 09000000320a15045b05010000006b00ac0009000000320a1504270a010000006b00ac00 09000000320a15044c0e010000007600ac0015000000fb0220ff00000000000090010100 00000002001054696d6573204e657720526f6d616e000002040000002d01020004000000 f00101000a000000320a75040c0f020000006b706400700015000000fb0280fe00000000 00009001000000000002001054696d6573204e657720526f6d616e00dab7040000002d01 010004000000f001020009000000320a1504c5040100000028007c0009000000320a1504 c20d0100000029007c000a00000026060f000a00ffffffff01000000000010000000fb02 1000080000000000bc02000000000102022253797374656d0006040000002d0102000400 0000f001010003000000000000000002001054696d6573204e657720526f6d616e000002 040000002d01020004000000f00101000a000000320a00000000. Caeaaeii a?ae ciaeo ia?ii cai?eo aai aeai?noo cai?eo, oeae ?acoeueoao (ci?ia ciaeo ) ni?aiaaea? c aecia/aiith aeua oiiaith i’yei? ao?aoe no?eeino?. I?yiee iaoiae iiaoaeiae a?oo?eaoe?eii? iiiaeeie a ieie? i?yiie?i?eiiai ?ooo i?e iayaiino? aeaoaeo?a neiao???. Iaoiae aaco?oueny ia ?ic?iaeaiiio a /aoaa?oiio ?icae?e? a?aoiaiae?oe/iiio i?aeoiae?. A?oo?eaoe?eiei cia/aiiyi ia?aiao??a a?aeiia?aea? aeioe/ia iieiaeaiiy ?ooiii? i?yii? a?aeiinii “ia?ooiii?” e?eai? picscalex128010009000003320200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c026004a01b1200000026060f001a00ffffffff00001000 0000c0ffffffc0ffffff601b0000200400000b00000026060f000c004d61746854797065 0000e00009000000fa02000010000000000000002200040000002d010000050000001402 6201660005000000130262013201050000001402400204030500000013024002a1040500 000014026201060e0500000013026201430f0500000014024002820f0500000013024002 76100500000014025b01f3110500000013025b01061305000000140262013a1405000000 1302620106150500000014026201fe160500000013026201ca170500000014026201c719 0500000013026201041b17000000fb0280fe0000000000009001010000cc040200105469 6d6573204e657720526f6d616e2043797200cc64040000002d01010008000000320aa002 221b010000002c0008000000320aa0028e19010000004d0008000000320aa002ba160100 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5f02010000003d00d30009000000320ac001cf09010000002d00d30009000000320ac001 b50e010000002b00d30009000000320ac0014a12010000002d00d30009000000320ac001 0515010000002d00d30010000000fb0220ff000000000000900100000002000200105379 6d626f6c0000040000002d01010004000000f001000009000000320af300570701000000 2d007b0015000000fb0220ff0000000000009001000000000002001054696d6573204e65 7720526f6d616e000000040000002d01000004000000f001010009000000320a20028004 010000003100700009000000320a2002a605010000003100700009000000320a2002e506 010000003100700009000000320af300d207010000003100700009000000320a20027a11 010000003100700010000000fb0280fe0000000000009001010000020002001053796d62 6f6c0000040000002d01010004000000f001000009000000320ac0012708010000007700 030109000000320ac001600d010000006a00e60009000000320ac001c40f010000007700 030109000000320ac001d216010000007700030109000000320ac001a01a010000006a00 e60009000000320ac001141e010000006a00e6000a00000026060f000a00ffffffff0100 0000000010000000fb021000080000000000bc02000000000102022253797374656d0006 040000002d01000004000000f001010003000000000000000000 Oei naiei iana i?ai?e/aio ?iciiae?ey?oueny ia aea? oi/eia? iane, iaeio c yeeo (m11) iiaeia aaaaeaoe iaeaaeiith oyaa/o, a ae?oaa (m12) a?aeiia?aea? a?eueo eaaeiio i?ai?e/aio, oeaio? ian yeiai eaaeeoue iaae a?nnth eie?n. A e?oaiaeo noaoe?iia?ieo noaiao oa?aeoa?ieie cia/aiiyie oaeaeeino? ? v** , v* , yeei a?aeiia?aeathoue ci?ie o eiio?ao?aoe?? nenoaie (i???ioaoe?y i?ai?e-/aio a?aeiinii e?oaiai? o?a?eoi??? o aioo??oith aai ciai?oith noi?iio a?aeiia?aeii). Ia?ii (?en.6.1) v < v** = (3 gL1)1/2 + > 0 , = arctg[(-u+c)v-1] .

v>v* = (k3’gL1)1/2 + < 0 , = arctg[(-u+c)v-1] . Caeaaeii a?ae cia/aiiy ia?aiao?o oaeaeeino? a ieie? v < v** aai v> v*
aoaeaii iaoe ??ci? ea?oeie ye?nii? iiaaae?iee noaoe?iia?ieo noai?a (
?en.6.2 , a, a, a; ?en.6.2 , a, ae, a aaaeo/a eaiea ia ia?
e?eoe/ii? oaeaeeino?, ?en.6.3, a, a, a; ?en.6.2 , a, ae, a, ae aaaeo/a
eaiea ia? e?eoe/io oaeaee?noue).

*enaeueiee iaoiae i?iaeiaaeaiiy ca ia?aiao?ii i?aeoaa?aeaeo?
iaea?aeai? ye?ni? ?acoeueoaoe.

Ia?aeaeaii a?ae ci?iieo , u aei ci?iieo 1 , 2 ? iicia/eii

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1b075f07020000002020600060000c000000320a1b07580e030000002020200060006000
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ffffffff01000000000010000000fb021000080000000000bc0200000000010202225379
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0000

Caieoaii aeacai? ??aiyiiy oae:

picscalex125010009000003d90300000300170000000000050000000902000000000400
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0000000000009001010000cc0402001054696d6573204e657720526f6d616e2043797200
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010000002d0010000000fb0200ff0000000000009001000000020002001053796d626f6c
0002040000002d01020004000000f001010008000000320a56048c16010000002d000800
0000320a4204a514010000002d0008000000320a7001e702010000002d000a0000002606
0f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc0102
022253797374656d00cc040000002d01010004000000f00102000300000000000000

aea

picscalex1350100090000031e0300000300150000000000050000000902000000000400
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0000c0ffaeff8029ee020b00000026060f000c004d617468547970650000a00008000000
fa0200001000000000000000040000002d010000050000001402c2006600050000001302
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00001302c902cc2210000000fb02dcfcdc00000000009001000000020002001053796d62
6f6c0084040000002d01010008000000320a6e028a10010000005b0010000000fb02dcfc
dc00000000009001000000020002001053796d626f6c0084040000002d01020004000000
f001010008000000320a6e021029010000005d0010000000fb0280fe0000000000009001
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320a0402590101000000a200600009000000320a00021402010000003d00d30009000000
320a0002ed08010000002b00d30009000000320a00021d0d010000003d00d30009000000
320a00023412010000002d00d30009000000320a00023515010000002b00d30009000000
320a0002191a010000002d00d30009000000320a0002641e010000002b00d30009000000
320a00028e21010000002b00d30009000000320a00020427010000002b00d30010000000
fb0220ff0000000000009001000000020002001053796d626f6c0000040000002d010200
04000000f001010009000000320a54010e06010000002d007b0009000000320a54018a0f
010000002d007b0015000000fb0280fe0000000000009001010000000002001054696d65
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fb0280fe0000000000009001010000020002001053796d626f6c0000040000002d010200
04000000f001010009000000320a00022b03010000006100f00009000000320a0002f606
010000007700030109000000320a00029d0b010000007700030109000000320a0002f410
010000007100c90009000000320a00024c13010000006400c00009000000320a0002d918
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010000006400c00009000000320a0002b124010000006400c00015000000fb0220ff0000
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2d01010004000000f001020009000000320a5401b404010000003300700009000000320a
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54696d6573204e657720526f6d616e000000040000002d01020004000000f00101000900
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0000320a0002dd27010000002e00600009000000320a00025128010000002e0060000900
0000320a0002c528010000002e0060000a00000026060f000a00ffffffff010000000000
10000000fb021000080000000000bc02000000000102022253797374656d000604000000
2d01010004000000f001020003000000000009000000320a3d028407010000006200c000
09000000320a3d02d30b010000006b00ac0000000000

No?ee?noue i?yiie?i?eiiai ?ooo ( = 0) aeaieaieiai? nenoaie i?e
e?eoe/i?e oaeaeeino? [41] . E?eoe/ia oaeaee?noue

picscalex125010009000003e20300000300150000000000050000000902000000000400
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00000b0200000000050000000c02200600160e00000026060f001200ffffffff00000800
0000c0ffb8ffc015d8050b00000026060f000c004d617468547970650000400108000000
fa0200001000000000000000040000002d01000005000000140279001004050000001302
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040000002d01020004000000f001010009000000320a2402ee0f0100000069003d000900
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010004000000f001020009000000320a2402f900010000002b007b0009000000320a1801
7b0d010000002d007b0009000000320af4029c06010000002d007b0009000000320af402
8611010000002d007b0009000000320ad302f513010000002d007b0009000000320ad004
bf06010000002d007b0009000000320ad004c511010000002d007b0009000000320aaf04
3414010000002d007b0010000000fb0280fe000000000000900100000002000200105379
6d626f6c0000040000002d01020004000000f001010009000000320ac401a70201000000
3d00d30009000000320ac4011b0a010000002d00d30009000000320ac401cb1001000000
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3d00d30009000000320a7c052d08010000002b00d30009000000320a7c05b60e01000000
2b00d30015000000fb0220ff0000000000009001000000000002001054696d6573204e65
7720526f6d616e001800040000002d01010004000000f001020009000000320af700a001
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010000003200700009000000320a24022909010000003100700009000000320a24021e0c
010000003200700009000000320a1801f60d010000003100700009000000320a00044401
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010000003100700009000000320a0004420c010000003100700009000000320af4020112
010000003100700009000000320a00046d13010000003100700009000000320ad3027014
010000003100700009000000320adc055201010000003200700009000000320ad0043a07
010000003100700009000000320adc05610a010000003100700009000000320adc05670c
010000003100700009000000320ad0044012010000003100700009000000320adc05ac13
010000003100700009000000320aaf04af14010000003100700015000000fb0280fe0000
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2d01020004000000f001010009000000320ac401d7070100000028007c0009000000320a
c401cf0c0100000029007c0009000000320ac401920e010000002c00600009000000320a
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7c0592100100000029007c000a00000026060f000a00ffffffff01000000000010000000
fb021000080000000000bc02000000000102022253797374656d0006040000002d010100
04000000f0010200030000000000478b5606f7d8f7da83d8008946088956068b460c0bc0
7d108b560af700000000

Ooo ki — eiao?oe??ioe iii?o aieiaiio a?aeaaaeaith. A ?icaeyiooiio
aeiaaeeo b1 = 0. Ine?eueee

picscalex131010009000003b30200000300170000000000050000000902000000000400
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00000b0200000000050000000c02c004001d1200000026060f001a00ffffffff00001000
0000c0ffffffa4ffffffc01c0000640400000b00000026060f000c004d61746854797065
0000000109000000fa02000010000000000000002200040000002d010000050000001402
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040000002d01010008000000320ac002721c010000002c0008000000320aeb03b31a0100
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3e0a010000002c0008000000320a0504750801000000760008000000320a05048d050200
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08000000320acc01760502000000626708000000320acc014404010000006b0017000000
fb0200ff0000000000009001010000cc0402001054696d6573204e657720526f6d616e20
43797200cc64040000002d01020004000000f001010008000000320a4b04711b01000000
320008000000320a2c02731b01000000310008000000320a200365180100000032000800
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2003421301000000310008000000320a2c027e0d01000000310008000000320a59033d09
01000000320008000000320a6504f10401000000320008000000320a20012c0901000000
320008000000320a2c02f60401000000310008000000320a2003f6000100000031001000
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010004000000f001020008000000320ac0026a19010000003d0008000000320ac002a317
01000000670008000000320ac0027416010000003d0008000000320ac0028c1201000000
670008000000320ac0028d0e010000003c0008000000320acc01c80c0100000067000800
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c0021403010000002d0008000000320ac002eb01010000003d0008000000320ac0024000
01000000670010000000fb0260ff0000000000009001000000020002001053796d626f6c
0002040000002d01020004000000f001010008000000320a6003c815010000002b001000
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010004000000f001020008000000320a2003c614010000003d0017000000fb0280fe0000
000000009001000000cc0402001054696d6573204e657720526f6d616e2043797200cc64
040000002d01020004000000f00101000a000000320ac002ac1005000000202020202000
09000000320ac0026e0a04000000202020200a00000026060f000a00ffffffff01000000
000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400
00002d01010004000000f00102000300000000000000

oi i?e v = v+ — 0 ia?ii (1 -2)(-) > 0. Oiiaa F2(3)(0) — F1(3)(0)
< 0 aeeiio?oueny oiae? ? o?eueee oiae?, eiee picscalex1210100090000036c0700000400170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02000f20280e00000026060f001200ffffffff00000800 0000c0ffa9ffe027a90e0b00000026060f000c004d617468547970650000900308000000 fa0200001000000000000000040000002d01000005000000140298027e10050000001302 98022a11050000001402bd046310050000001302bd040f11050000001402bd047b110500 00001302bd0427120500000014027c04f80d0500000013027c047c140500000014025f00 3d170500000013025f00e91708000000fa0200000800000000000000040000002d010100 05000000140243027e160500000013024302b718040000002d0100000500000014025f00 d71a0500000013025f00831b040000002d01010005000000140243023a1a050000001302 4302501c040000002d010000050000001402b3045218050000001302b304fe1805000000 1402b3048b1b050000001302b304371c050000001402d806e117050000001302d8068d18 050000001402d8067c1a050000001302d806281b040000002d0101000500000014029706 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I?e d1 < d1* ia? i?noea a?oo?eaoe?y ceeooy aei?noea ao?aoa no?eeino?. A?oo?eaoe?eia iiiaeeia noaoe?iia?ieo noai?a aeaieaieiai? nenoaie [43] aecia/a?oueny ni?aa?aeiioaiiyi: picscalex1260100090000036d0500000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02400a40221200000026060f001a00ffffffff00001000 0000c0ffffffa2ffffff00220000e20900000b00000026060f000c004d61746854797065 0000600209000000fa02000010000000000000002200040000002d010000050000001402 8300aa110500000013028300511205000000140283005b14050000001302830002150500 00001402c102cc08050000001302c1027309050000001402c1020e0a050000001302c102 b50a050000001402c1025c0c050000001302c102030d050000001402c102e11305000000 1302c10288140500000014026502830805000000130265028a1b05000000140287077303 05000000130287076104050000001402a5051706050000001302a505be06050000001402 870756050500000013028707c807050000001402a505dc09050000001302a505830a0500 000014028707370905000000130287078d0b050000001402a5059a0f050000001302a505 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noi?ioeueiaai? iniiai? ?acoeueoaoe oai?aoe/iiai oa i?eeeaaeiiai oa?aeoa?o. I. A aeena?oaoe?ei?e ?iaio? aia?oa ?ica’ycai? caaea/? iiaoaeiae iaeanoae noaoe/ii? no?eeino? k-ia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a aaaaoieaieiaeo iaoai?/ieo nenoai c ei/aiiyi, ui aeeth/athoue ?ic?iaeo iaoiaea aiae?co no?eeino? a e?eoe/iiio ca I.I. Eyioiiaei aeiaaeeo iaeiiai ioeueiaiai ei?aiy; aecia/aiiy iniaeeainoae (eaoano?io) iiaa?oiiue ??aiiaaaeieo noai?a ; iiaoaeiao a ieie? e?aoiiai noaoe?iia?iiai noaio a?oo?eaoe?eieo iiiaeei oa anoaiiaeaiiy iaoai?cio ci?ie oa?aeoa?o aaciaee a?aieoe? iaeano? no?eeino? a i?inoi?? ia?aiao??a. II. Iniiai? ?acoeueoaoe ?iaioe iieyaathoue o oiio, ui: 1.Cai?iiiiiaaii iaoiae aeaeiiiiceoe?? n+1-eaieiai? nenoaie c ei/aiiyi ia iacaeaaei? a e?i?eiiio iaaeeaeaii? i?aenenoaie. 2.?ic?iaeaii iaoiae aeine?aeaeaiiy iacao?aiiai ?ooo a e?eoe/iiio aeiaaeeo iaeiiai ioeueiaiai ei?aiy a nenoaiao c iaei?ino?oith neiao???th i?e aeayeeo iaiaaeaiiyo ia e?i?eio /anoeio. 3.Anoaiiaeaii iaoai?ci ci?ie oa?aeoa?o aaciaee a?aieoe? iaeano? no?eeino? o i?inoi?? ia?aiao??a . 4.?ic?iaeaii a?aoiaiae?oe/iee iaoiae aiae?co iacao?aieo ?oo?a iaeiieaieiaiai ae?iaaeo c aeaoaeoaie neiao??? oaeeie, ye: a) aieiaa neea, ui ae?? ia ae?iaae; a) iiiaio nee , ui ae?? a ieiuei? ?ooo; a) aenoeaio?eneoao oeaio?o ian; a) iiiaioia a?iioaca aieiaiai a?aeaaaeaiy. 5.?aeaioeo?eiaaii eaoano?ioe k-ia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a iaeiieaieiai? aaaeo/i? eaiee oa ?ic?iaeaii iaoiae iiaoaeiae aeiaaeueieo a?oo?eaoe?eieo iiiaeei o yaiiio /e ia?aiao?e/iiio aeaeao aeey aeacaieo aeua caaea/. 6.?ic?iaeaii “?aaoey?iee” iaoiae iiaoaeiae a?oo?eaoe?eieo iiiaeei aeaiia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a a ieie? o?ee?aoiiai noaoe?iia?iiai ?aaeeio. 7.Iienaia aaiethoe?y noaoe?iia?ieo noai?a aeaieaieiaiai ae?iaaeo; aecia/ai? cia/aiiy oaeaeeino?, ye? nooo?ai aieeaathoue ia eiio?ao?aoe?th nenoaie oa ?? no?ee?noue . 8.?icaeyiooa caaea/a no?eeino? i?yiie?i?eiiai ?ooo ae?iaaeo c ea?iaaiei eie?niei iiaeoeai ( a?aoiaaii aieea aei?noeino? ?oeueiaiai ea?oaaiiy oa aeiino ia?aaeiueiai eieana) . 9.?icaeyiooa caaea/a /enaeueii? iiaoaeiae aeiaaeueii? a?oo?eaoe?eii? iiiaeeie o ieiuei? ea?iaaieo ia?aiao??a aeaieaieiai? nenoaie . 10.?ic?iaeaii iaoiae iiaoaeiae eieaeueii? a?oo?eaoe?eii? iiiaeeie a ieie? i?yiie?i?eiiai ?ooo n+1-eaieiai? nenoaie ? aecia/aiiy e?eoe/ii? oaeaeeino? e?oaiaiai ?ooo caeaaeii a?ae cia/aiiy eooa iiai?ioo ea?iaaieo eie?n. Aeacai aeai?eoi ciaoiaeaeaiiy ni?aa?aeiioaiiy i?ae ia?aiao?aie iiaeae?, ui a?aeiia?aeathoue ca oa?aeoa? aaciaee a?aieoe? iaeano? no?eeino?. Oai?aoe/ia oa i?aeoe/ia cia/aiiy iaea?aeaieo o ?iaio? ?acoeueoao?a iieyaathoue o: ?icaeoeo iiaiai aeai?eoio aecia/aiiy oiia no?eeino? a e?eoe/iiio aeiaaeeo iaeiiai ioeueiaiai ei?aiy i?e aeayeeo iaiaaeaiiyo ia nenoaio, yeee aea? iiaeeea?noue iaea?aeaoe yai?, c oi/ee ci?o aieeao ia?aiao??a, oiiae no?eeino?, ui iaiiaeeeai i?e o?aaeeoe?eiiio i?aeoiae?; aeyaeaii? caeiiii??iinoae iiaoaeiae a?oo?eaoe?eieo iiiaeei a ieie? neiao?e/iiai ?ica’yceo o aeiaaeeo iaeiiai ioeueiaiai ei?aiy oa ci?ie oa?aeoa?o aaciaee (ii I.I. Aaoo?io) a?aieoe? iaeano? no?eeino? a i?inoi?? ia?aiao??a ia iniia? ca’yceo i?ae ii?yaeeii ae?iaeaeaiiy iae?i?eieo /eai?a ii e?eoe/i?e ci?ii?e, e?aoi?noth k neiao?e/iiai ?ica’yceo ? ?aiaii a?aeiia?aeii? eaoano?ioe Ak-1 ( ci?ia oa?aeoa?o aaciaee a?aieoe? iia’ycaia c ?aae?caoe??th iniaeeainoae aeuiai ?aiao); ?ic?iaoe? iaoiae?a iiaoaeiae a?oo?eaoe?eieo iiiaeei aeai- oa o?eia?aiao-?e/ieo n?iae noaoe?iia?ieo noai?a a yaiiio aai ia?aiao?e/iiio aeae?, ui aeicaieythoue ?o a?coae?caoe?th; iiaeeeaino? aeei?enoaiiy ?icaeiooeo iaoiae?a aiae?co i?e i?iaeooaaii? ? iioei?caoe?? (c oi/ee ci?o no?eeino? oa “ea?iaaiiino?”) ia?aiao??a aaaaoieaieiaeo aaoiii?cae?a, o?ainii?oieo ?iaio?a aeey aaoiiaoeciaaiiiai ae?iaieoeoaa, a oaeiae ?iaioioaoi?/ieo nenoai niaoe?aeueiiai aeaeo; ?ic?iaoe? i?ia?ai /enaeueii? iiaoaeiae a?oo?eaoe?eieo iiiaeei, ye? iiaeooue aooe aeei?enoai? aeey oanooaaiiy aeai?eoi?a anaeie?niiai oi?aae?iiy. ???. I?e aiae?c? ?icaeyiooeo o ?iaio? iae?i?eieo iiaeaeae ae?iaae?a aoee iaea?aeai? iia? ?acoeueoaoe ye?niiai oa e?euee?niiai oa?aeoa?o, ui iia’ycai? c nooo?aith a aenieoaoaoe?ei?e i?aeoeoe? oa?aeoa?enoeeith ?iciiae?eii noaoe?iia?ieo noai?a oa oiiaaie ?o no?eeino?. Eiie?aoi? ?acoeueoaoe aeey ??cieo oei?a ae?iaae?a oae? a) neiao?e/iee ae?iaae ( iaeia aaaeo/a eaiea): ciaeaeaii aiae?oe/iee ae?ac e?eoe/ii? oaeaeeino? e?oaiaeo noaoe?iia?ieo noai?a aeinoaoiuei aaeeeiai ?aae?ono (a ieie? i?yiie?i?eiiai ?ooo ?nio? aeaa e?oaiaeo noaoe?iia?i? noaie - aeiaaeie caaaeueiiai iieiaeaiiy); a iae?i?ei?e iinoaiiaoe? ?ica’ycaia caaea/a aecia/aiiy i?i?iaeueiiai ?aae?ono, ui a?aeiia?aea? no?eeiio noaoe?iia?iiio noaio; ciaeaeaii yaia, c oi/ee ci?o aieeao ia?aiao??a, ni?aa?aeiioaiiy, ui a?aeiia?aeia ca oa?aeoa? aaciaee a?aieoe? iaeano? no?eeino? a i?inoi?? ia?aiao??a; i?e iaci?ii?e eino?oeoeai?e noai? ae?iaaeo oa?aeoa? ci?ie no?eeino? (i’yeee-aei?noeee) i?yiie?i?eiiai ?ooo caeaaeeoue a?ae iaeiiai aioo??oiueiai ia?aiao?a eiao?oe??ioa eoeiiiaiai oa?oy ia?aaei?o eie?n c iii?iith iiaa?oiath; eiai iaoai?ci iia’ycaiee c “aeaa?oaiiyi” cai?ee a aeai?noo ?e cai?eo /a?ac ?aae?caoe?th iniaeeaino? “butterfly” a ieie? i?yiie?i?eiiai ?ooo ?nio? /ioe?e e?oaiaeo ?aaeeie; a) ae?iaae c aeaoaeoaie neiao???: aieiaa neea ia ci?ith? /enea noaoe?iia?ieo noai?a iiaeae?, aiiny/e aneiao??th a ?o iieiaeaiiy ia oacia?e ieiuei?; a iae?i?ei?e iinoaiiaoe? ciaeaeaii ?ica’ycie caaea/? i?i ia?e?oaaiiy noaei? neee iiai?ioii ea?iaaieo eie?n ? oiiae no?eeino? “a?aeiiaeaiiai” i?yiie?i?eiiai ?ooo; ciai?oiee iiiaio nee iaaeiei aa?oeeaeueii? in? nooo?ai ci?ith? ea?oeio ?iciiae?eo noaoe?iia?ieo noai?a c’yaeythoueny iaeano? c 4 oa 2 ?aaeeiaie oa iaeano?, aea aiie a?aenooi?; inoaiiy ? i??ith “caiiniiaaacia/iino?”; a iae?i?ei?e iinoaiiaoe? io?eiaii ?ica’ycie caaea/? i?i ia?e?oaaiiy ae?? iiiaioo iiai?ioii ea?iaaieo eie?n ? oiiae no?eeino? “ a?aeiiaeaiiai”i?yiie?i?eiiai ?ooo; aneiao??y oeaio?o ian ca aieeaii ia ea?oeio noaoe?iia?ieo noai?a iiae?aia aei aieeao iiiaioo nee; o an?o o?ueio aeiaaeeao aneiao??? ao?aoa no?eeino? i?yiie?i?eiiai ?ooo ia? aei?noeee oa?aeoa?. a) aeaieaieiaee ae?iaae: anoaiiaeaii iiaeeea?noue e?ioeaaiai no?eaea noaoe?iia?ieo noai?a i?e iaeeo ci?iao ia?aiao?a (ii?iaeaeo?oueny aaaeaiith eaieith); aecia/aii oa?aeoa?i? cia/aiiy ia?aiao?a iicaeiaaeiuei? oaeaeeino? ?ooo, ui aieeaathoue ia i???ioaoe?th aaaeaii? eaiee a iiai?io? (o aioo??oith aai ciai?oith noi?iio o?a?eoi???); ia iniia? ye?niiai aiae?co anoaiiaeaii, ui i???ioaoe?y aaaeaii? eaiee o aioo??oith noi?iio e?oaiai? o?a?eoi??? i?aeaeuo? no?ee?noue nenoaie ii??aiyii c ie?aiith aaaeo/ith eaieith ? aeanoaa?e?co? nenoaio i?e i???ioaoe?? aaaeaii? eaiee o ciai?oith noi?iio; oa?aeoa?iei ia?aiao?ii i?eaaaeaii? aeaieaieiai? nenoaie, ui aieeaa? ia no?ee?noue e?oaiaeo noaoe?iia?ieo ?oo?a oa ia oa?aeoa? aaciaee a?aieoe? iaeano? no?eeino? i?yiie?i?eiiai ?ooo a i?inoi?? ia?aiao??a , ? a?aenoaiue a?ae oeaio?o ian aaaeaii? eaiee aei oi/ee c/aieaiiy i?e i?ioiaeaeaii? e?eoe/iiai cia/aiiy ia?aiao?o ?aae?co?oueny iniaeea?noue “butterfly”( iaoai?ci ia?aaoaeiae aaea iienaii aeey aeiaaeeo iaei??? aaaeo/i? eaiee); ciaeaeaii a aiae?oe/iiio aeaeyae? ae?ac e?eoe/ii? oaeaeeino? e?oaiaeo noaoe?iia?ieo noai?a aeinoaoiuei aaeeeiai ?aae?ono; a) n+1-eaieiaee ae?iaae: can?a aiae?oe/iiai i?aaenoaaeaiiy a?oo?eaoe?eii? iiiaeeie (eiai a?ao?e - i?aeoa?/ia ia?aaiea c oi/eith caaino?aiiy (0,v+) ) aeey aeaieaieiaiai ae?iaaeo ?iciianthaeaeoaii ia aeiaaeie aeia?eueiiai n+1-eaieiaiai ae?iaaeo. Aeinoia??i?noue iaea?aeaieo ?acoeueoao?a oa aeniiae?a caaacia/o?oueny ei?aeoi?noth iinoaiiaie caaea/, no?iai iaa?oioiaaieie iaoiaeaie a?oo?eaoe?eiiai aiae?co, ?o oanooaaiiyi ia i?eeeaaeao c a?aeiiei aiae?oe/iei ?ica’yceii; ii??aiyiiyi a?oo?eaoe?eieo iiiaeei, iaea?aeaieo aiae?oe/ii, c ?acoeueoaoaie ?o iacaeaaeii? /enaeueii? iiaoaeiae iaoiaeii i?iaeiaaeaiiy ca aeaiia ia?aiao?aie oa iiaiaeaeai?noth c ?acoeueoaoaie, iaea?aeaieie a /anoeiieo aeiaaeeao ?ioeie aaoi?aie. Io?eiai? a aeena?oaoe?ei?e ?iaio? ?acoeueoaoe oa aeniiaee, a oaeiae ?ic?iaeai? i?ia?aie iiaeooue aooe ?aeiiaiaeiaai? aeey aeei?enoaiiy a iaoeia?e oa ?iaeaia?i?e i?aeoeoe? i?e iienoaaii? aeeiai?/ieo yeinoae iiaeo eiino?oeoeaieo noai eie?nieo iaoei. Iniiaiee ci?no aeena?oaoe?eii? ?iaioe a aeinoaoi?e i??? a?aeia?aaeaii a oaeeo ioae?eaoe?yo: 1. Eiaan E.A., Aa?aeoeeee A.A. Ea/anoaaiiua e aiaeeoe/aneea iaoiaeu a aeeiaieea eieaniuo iaoei. - Eeaa: Iaoe. aeoiea, 1990. - 232 n. 2. Aa?aeoeeee A.A. Aeoo?eaoeeiiiua iiiaeanoaa e eaoano?iou a iiiaiia?aceyo noaoeeiia?iuo ninoiyiee iiaaiieieaniuo iaoei // I?eee.iaoaieea.-1995. - 31, ?3. - C. 89-95. 3. Aa?aeoeeee A.A. Iniaaiiinoe iiiaiia?acee noaoeeiia?iuo ninoiyiee aeeiaie-/aneeo nenoai i?e eciaiaiee oi?aaeythueo ia?aiao?ia // I?iae. oi?aaeaiey e eioi?iaoeee.- 1998.- ? 4.- C. 10 - 16. 4. Aa?aeoeeee A. A. Iniaaiiinoe iiiaiia?acee noaoeeiia?iuo ninoiyiee oi?aaey-aiiai eieaniiai ?iaioa n aeaoaeoaie neiiao?ee // I?iae. oi?aaeaiey e eioi?iaoeee.- 1998.- ? 5.- C. 148 -153. 5. Aa?aeoeeee A. A. I iiiaiia?aceyo noaoeeiia?iuo ninoiyiee eieaniiai yeeiaaea n aneiiao?e/iui ?aniieiaeaieai oeaio?a iann // I?eee. iaoaieea.- 1998.- 34, ? 9.- N. 104 - 106. 6. Aa?aeoeeee A. A., Eiaan E. A. Aeoo?eaoeee e onoie/eainoue noaoeeiia?iuo ninoiy-iee naycee eaoyueony oi?oaiaeaoi?ie?oaiuo oae // I?eee. iaoaieea.- 1987.- 23, ? 8.- N. 101 -106. 7. Aa?aeoeeee A. A., Eiaan E. A. Aeoo?eaoeee noaoeeiia?iuo ninoiyiee aaaeiiuo caaiueaa eieaniuo yeeiaaeae // I?eee. iaoaieea.- 1987.- 23, ? 9.- N. 110 - 116. 8. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee e onoie/eainoue noaoeeiia?iuo aeaeaeaiee eieaniiai yeeiaaea // Eca. AI NNN?. Iaoaieea oaa?aeiai oaea.- 1988.- ? 1.- N. 57- 63. 9. Aa?aeoeeee A.A., Eiaan E.A. E oai?ee eo?niaie onoie/eainoe eieaniuo iaoei // I?eee. iaoaieea.-1989. - 25, ? 5. - C. 109 - 116. 10. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee noaoeeiia?iuo ninoiyiee eieaniuo iaoei i?e aiaoieo neeiauo aicaeaenoaeyo // I?eee. iaoaieea.- 1990. -26, ? 6. - C. 88- 95. 11. Aa?aeoeeee A.A., Eiaan E.A. Aeeyiea neeiauo aicaeaenoaee ia noaoeeiia?iua aeaeaeaiey eieaniuo iaoei // I?eee. iaoaieea.- 1990. - 26, ?7. - C . 97-102. 12. Aa?aeoeeee A.A., Eiaan E.A. Iiiaiia?acey noaoeeiia?iuo ninoiyiee aeaoo-caaiiiai aaoiiiacaea e eo onoie/eainoue // I?eee. iaoaieea.- 1990.- 26, ? 12. - C . 97-104. 13. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee e onoie/eainoue noaoeeiia?iuo aeaeaeaiee iiaaiieieaniuo iaoei a iinoiyiiuo neeiauo iieyo // Eca. AI NNN?. Iaoaieea oaa?aeiai oaea.- 1991.- ?1. - N. 28 - 33. 14. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee noaoeeiia?iuo ninoiyiee naycee aaniethoii oaa?aeuo e eaoyueony oi?oaeo oae // Eca. AI NNN?.Iaoaieea oaa?aeiai oaea.-1991.- ?3. - C. 30 - 37. 15. Aa?aeoeeee A.A., Eiaan E.A. Nouanoaiaaiea e ?aaeecoaiinoue noaoeeiia?iuo ninoiyiee iiaaiieieaniuo iaoei // I?eee.iaoaieea.- 1993.- 29, ? 7. - C. 81- 89. 16. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee noaoeeiia?iuo ninoiyiee a nenoaiao n ea/aieai i?e iinoiyiiuo neeiauo aiciouaieyo // I?eee. iaoaiaoeea e iaoaieea.-1994.- 58, ?5. - N. 165 - 170. 17. Aa?aeoeeee A.A., Eiaan E.A. Aauanoaaiiua aeoo?eaoeee aeeiaie/aneeo nenoai n i?inoaeoae neiiao?eae i?e eciaiaiee oi?aaeythueo ia?aiao?ia // I?iae. oi?aaeaiey e eioi?iaoeee.-1995.- ? 6. - C. 47- 62. 18. Aa?aeoeeee A.A., Eiaan E.A. Aauanoaaiiua aeoo?eaoeee aeaoocaaiiuo nenoai n ea/aieai // I?eee. iaoaiaoeea e iaoaieea. - 1996. - 60, ? 3. - N. 418 - 425 19. Aa?aeoeeee A.A., Eiaan E.A. Iaeeiaeiay onoie/eainoue e aeoo?eaoeeiiiua iiiaeanoaa noaoeeiia?iuo ninoiyiee eieaniuo ?iaioia i?e eciaiaiee oi?aaeythueo ia?aiao?ia // I?iae. oi?aaeaiey e eioi?iaoeee.- 1996.- ? 3.- C. 35 -51. 20. Aa?aeoeeee A.A., Eiaan E.A. Aeoo?eaoeee noaoeeiia?iuo ninoiyiee iiiaicaaiiuo nenoai n ea/aieai // Eca.?AI.Iaoaieea oaa?aeiai oaea.-1997.- ? 5, n.46 – 52. 21. Eiaan E.A., Aa?aeoeeee A.A. Ia onoie/eainoe aeaeaeaiey o?ainii?oiuo iaoei n o/aoii eieaaaiee oi?aaeythuaai eieaniiai iiaeoey // I?eee.iaoaieea.-1995.- 31, ?4. - C. 86 - 93. 22. Eiaan E.A.,Naoii A.I.,Aa?aeoeeee A.A., Aa?eeiae/ A.E. Aeoo?eaoeee e eaoano?i-ou a aeeiaie/aneeo nenoaiao n neiiao?eae: i?eeiaeaiey e o?ainii?oiie iaoa-ieea // O?oaeu Aoi?ie Iaaeae. iao/ii-oaoie/aneie eiio."Aeooaeuei.i?iaeaiu ooiaeaiaioaeueiuo iaoe".-1994.-o.2, /.1.Neiiiceoi "Oai?. e i?eee. iaoaieea".-I.: Oaoiinoa?a-Eioi?i., -180 n; N.(A-35)-(A-38). Aa?aeoeueeee A.A. Iae?i?eia no?ee?noue aaaaoieaieiaeo nenoai c ei/aiiyi, aeeaa?aaioi? a?oo?eaoe?? oa eaoano?ioe noaoe?iia?ieo noai?a. - ?oeiien. Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a o?ceei-iaoaiaoe/ieo ca niaoe?aeuei?noth 01.02.01 - oai?aoe/ia iaoai?ea. - ?inoeooo iaoai?ee ?i. N.I. Oeiioaiea IAI Oe?a?ie, Ee?a, 1998. Aeena?oaoe?y i?enay/aia ?ic?iaoe? iaoiae?a aiae?co k-ia?aiao?e/ieo n?iae noaoe?iia?ieo noai?a aaaaoieaieiaeo nenoai c ei/aiiyi. Iiaeathoueny iae?i?ei? iinoaiiaee caaea/ aeeiai?ee nenoai c ei/aiiyi, ye? aeicaieythoue a?aooaaoe aieea eiino?oeoeaii? noaie, ?nioth/eo aeaoaeo?a ?? neiao??? oa ciai?oi?o neeiaeo cao?aiue ia iaeio c iaea?eueo nooo?aeo a aenieoaoaoe?ei?e i?aeoeoe? oa?aeoa?enoee iiiaeeio noaoe?iia?ieo noai?a oa oiiae ?o no?eeino?; ?icaeaathoueny aiae?oe/i? oa /enaeuei? aeai?eoie iiaoaeiae a?aieoe? noaoe/ii? no?eeino? a i?inoi?? aeaio oa o?ueio ia?aiao??a, aecia/a?oueny oa?aeoa? aaciaee a?aieoe? oa iaoai?ci eiai ci?ie ia iniia? aiae?co ia?aaoaeiae iniaeeainoae iiaa?oiiue noaoe?iia?ieo noai?a (eaoano?io). Eeth/ia? neiaa: iae?i?eia no?ee?noue, aaaaoieaieia? nenoaie c ei/aiiyi, noaoe?iia?i? noaie, aeeaa?aaioi? a?oo?eaoe??, eaoano?ioe. Aa?aeoeeee A.A. Iaeeiaeiay onoie/eainoue iiiaicaaiiuo nenoai n ea/aieai, aeeaa?aaioiua aeoo?eaoeee e eaoano?iou noaoeeiia?iuo ninoiyiee. - ?oeiienue. Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.02.01 - oai?aoe/aneay iaoaieea. - Einoeooo iaoaieee ei. N.I. Oeiioaiei IAI Oe?aeiu, Eeaa, 1998. Aeenna?oaoeey iinayuaia ?ac?aaioea iaoiaeia aiaeeca k-ia?aiao?e/aneeo naiaenoa noaoeeiia?iuo ninoiyiee iiiaicaaiiuo nenoai n ea/aieai. I?eaiaeyony iaeeiaeiua iinoaiiaee caaea/ aeeiaieee nenoai n ea/aieai, eioi?ua iicaieytho o/anoue aeeyiea eiino?oeoeaiie noaiu, eiathueony aeaoaeoia neiiao?ee e neeiauo aiciouaiee ia iaeio ec nouanoaaiiuo a yenieoaoaoeeiiiie i?aeoeea oa?aeoa?enoee iiiaeanoai noaoeeiia?iuo ninoiyiee e oneiaey eo onoie/eainoe; ?acaeaathony aiaeeoe/aneea e /eneaiiua aeai?eoiu iino?iaiey a?aieoeu iaeanoe noaoe/aneie onoie/eainoe a i?ino?ainoaa aeaoo e o?ao ia?aiao?ia, ii?aaeaeyaony oa?aeoa? iianiinoe ii I.I. Aaooeio a?aieoeu iaeanoe onoie/eainoe a i?ino?ainoaa ia?aiao?ia e iaoaieci aai eciaiaiey ia iniiaa aiaeeca ia?ano?iae iniaaiiinoae iiaa?oiinoe noaoeeiia?iuo ninoiyiee. Eeth/aaua neiaa: iaeeiaeiay onoie/eainoue, iiiaicaaiiua nenoaiu n ea/aieai, noaoeeiia?iua ninoiyiey, aeeaa?aaioiua aeoo?eaoeee, eaoano?iou. Verbitskii V.G. Nonlinear stability of multilink systems with rolling, divergent bifurcation and catastrophe of stationary state - Manuscript. The Thesis on competition of a Doctor's Degree of Physical and Mathematical sciences by the Speciality 01.02.01 - theoretical mechanics. - S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of the Ukraine, Kyiv, 1998. The dissertation is devoted to the development of methods of analysis of k- parameterical families of stationary state of multilink systems with rolling. Non-linear statements of problems of dynamics of systems with rolling are considered which allow to take into account influence of the constructive circuit, available defects of symmetry and disturbance of forces on one of the essential characteristics which are the set of stationary state and conditions of their stability; analytical and numerical algorithms of building border of domain of static stability in two, three-dimensional space of parameters are being developed, N.N. Bautin's character of danger of border of domain of stability in space of parameters and mechanism of its change have been determined on the basis of the analysis of reconstruction of singularities of a surface of stationary state. Key words: nonlinear stability, multilink system with rolling, stationary state, divergent bifurcation, catastrophe.

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