The 17 references with contexts in paper A. Kanatnikov N., A. Krishchenko P., А. Канатников Н., А. Крищенко П. (2016) “Реализация итерационной процедуры в задачах локализации автономных систем // Realization of the Iteration Procedure in Localization Problems of Autonomous Systems” / spz:neicon:technomag:y:2014:i:1:p:307-319

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Kanatnikov A.N., Krishchenko A.P.Invariantnye kompakty dinamicheskih system[Invariant compact sets of dynamical systems]. Moscow, Bauman MSTU Publ., 2011. 231 p. (in Russian).
Total in-text references: 7
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    ‰Û‡ ¬‚‰ÂÌË ¬ ÔÓÒΉÌË ԡÚ̇‰ˆ‡Ú ̧ ÎÂÚ ‚ ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ ÓÙÓÏËÎÒˇ Ó‰ËÌ ËÁ ÒÔÓÒÓ·Ó‚ ͇ ̃ÂÒÚ‚ÂÌÌÓ„Ó ËÒÒΉӂ‡Ìˡ ‰Ë̇ÏË ̃ÂÒÍÓÈ ÒËÒÚÂÏ ̊ | ÎÓ͇ÎËÁ‡ˆËˇ ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ‰Ë̇ÏË ̃ÂÒÍÓÈ ÒËÒÚÂÏ ̊. œÓ‰ ÎÓ͇ÎËÁ‡ˆËÂÈ Á‰ÂÒ ̧ ÔÓÌËχÂÚÒˇ ÔÓÒÚÓÂÌË ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊ Ú‡ÍËı ÏÌÓÊÂÒÚ‚, ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‚Ò ËÌ‚‡ˇÌÚÌ ̊ ÍÓÏÔ‡ÍÚÌ ̊ ÏÌÓÊÂÒÚ‚‡ ‰Ë̇ÏË ̃ÂÒÍÓÈ ÒËÒÚÂÏ ̊
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    . »Ì‚‡ˇÌÚÌ ̊ ÍÓÏÔ‡ÍÚÌ ̊ ÏÌÓÊÂÒÚ‚‡ ÚÂÒÌÓ Ò‚ˇÁ‡Ì ̊ Ò Ó„‡ÌË ̃ÂÌÌ ̊ÏË Ú‡ÂÍÚÓˡÏË ÒËÒÚÂÏ ̊, ÒÚÛÍÚÛ‡ ÍÓÚÓ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.

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    Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰
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    . ›ÙÙÂÍÚË‚ÌÓÒÚ ̧ ÙÛÌ͈ËÓ̇Π̧ÌÓ„Ó ÏÂÚÓ‰‡ ÛÒËÎË‚‡ÂÚÒˇ ÔË ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓÏ ÔËÏÂÌÂÌËË ÌÂÒÍÓÎ ̧ÍËı ÙÛÌ͈ËÈ. œË ̋ÚÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËÂ Ó ̃Â‰ÌÓÈ ÙÛÌ͈ËË ÔË‚Ó‰ËÚ Í ÛÚÓ ̃ÌÂÌË ̨ ÛÊ ÔÓÒÚÓÂÌÌÓ„Ó ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡.

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    ›ÙÙÂÍÚË‚ÌÓÒÚ ̧ ÙÛÌ͈ËÓ̇Π̧ÌÓ„Ó ÏÂÚÓ‰‡ ÛÒËÎË‚‡ÂÚÒˇ ÔË ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓÏ ÔËÏÂÌÂÌËË ÌÂÒÍÓÎ ̧ÍËı ÙÛÌ͈ËÈ. œË ̋ÚÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËÂ Ó ̃Â‰ÌÓÈ ÙÛÌ͈ËË ÔË‚Ó‰ËÚ Í ÛÚÓ ̃ÌÂÌË ̨ ÛÊ ÔÓÒÚÓÂÌÌÓ„Ó ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡. ¬ÓÁÌË͇ÂÚ ËÚÂ‡ˆËÓÌ̇ˇ Ôӈ‰Û‡ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÒÛÊÂÌˡ ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡
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    . Õ‡ÒÚÓˇ ̆‡ˇ ‡·ÓÚ‡ ÔÓÒ‚ˇ ̆Â̇ ‡Ì‡ÎËÁÛ Û͇Á‡ÌÌÓÈ ËÚÂ‡ˆËÓÌÌÓÈ Ôӈ‰Û ̊, ÂÒÚÂÒÚ‚ÂÌÌ ̊Ï Ó·‡ÁÓÏ ‚ÓÁÌË͇ ̨ ̆ÂÈ ‚ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂχı ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡, ‚ ÍÓÚÓ ̊ı Ô‡‚‡ˇ ̃‡ÒÚ ̧ Í‡Ê‰Ó„Ó ‰ËÙÙÂÂ̈ˇΠ̧ÌÓ„Ó Û‡‚ÌÂÌˡ ‡Á ̄Ëχ ÓÚÌÓÒËÚÂÎ ̧ÌÓ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Ù‡ÁÓ‚ÓÈ ÔÂÂÏÂÌÌÓÈ.

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    Õ‡ÒÚÓˇ ̆‡ˇ ‡·ÓÚ‡ ÔÓÒ‚ˇ ̆Â̇ ‡Ì‡ÎËÁÛ Û͇Á‡ÌÌÓÈ ËÚÂ‡ˆËÓÌÌÓÈ Ôӈ‰Û ̊, ÂÒÚÂÒÚ‚ÂÌÌ ̊Ï Ó·‡ÁÓÏ ‚ÓÁÌË͇ ̨ ̆ÂÈ ‚ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂχı ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡, ‚ ÍÓÚÓ ̊ı Ô‡‚‡ˇ ̃‡ÒÚ ̧ Í‡Ê‰Ó„Ó ‰ËÙÙÂÂ̈ˇΠ̧ÌÓ„Ó Û‡‚ÌÂÌˡ ‡Á ̄Ëχ ÓÚÌÓÒËÚÂÎ ̧ÌÓ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Ù‡ÁÓ‚ÓÈ ÔÂÂÏÂÌÌÓÈ. “‡ÍË ÒËÒÚÂÏ ̊ ‚ÒÚ ̃‡ ̨ÚÒˇ ‚ ÔËÎÓÊÂÌˡı [17]. –‡·ÓÚ‡ Ó„‡ÌËÁÓ‚‡Ì‡ ÒÎÂ‰Û ̨ ̆ËÏ Ó·‡ÁÓÏ. ¬ Ô. 1 ‚ ÒÓÓÚ‚ÂÚÒÚ‚ËË Ò
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    ‰‡Ì ̊ ÌÂÓ·ıÓ‰ËÏ ̊ ÓÔ‰ÂÎÂÌˡ Ë ÒÙÓÏÛÎËÓ‚‡Ì ̊ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆Ë ÂÁÛÎ ̧Ú‡Ú ̊. ¬ Ô. 2 ËÁÛ ̃Â̇ Á‡‰‡ ̃‡ ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÓ‚ ‰Îˇ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂÏ Û͇Á‡ÌÌÓ„Ó ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡. ¬ Á‡ÍÎ ̨ ̃ÂÌËË ÔÓ‰‚Ó‰ˇÚÒˇ ËÚÓ„Ë Ôӂ‰ÂÌÌÓ„Ó ËÒÒΉӂ‡Ìˡ. 1.

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    , Moscow, Russia Keywords:dynamical system, localization, localizing set, invariant compact set, iteration procedure In the last 15 years one way for a qualitative analysis of dynamical systems was formed i.e. the localization of invariant compact sets of a dynamical system. Here the localization means creating a system of such sets, which contain all invariant compact sets of a dynamic system
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    , in the phase space. Invariant compact sets are closely connected with bounded trajectories of the system, the structure of which in the phase space play key role in many applications of dynamical system theory.

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    Back investigations of localization problems was oriented both to development of solving methods [28] and to investigation of particular dynamical systems encountered in applications (see, for example, [9{16]). One of quite efficient methods of localization problem solving is based on smooth functions defined in the phase space. It is so called functional method
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    . Effectiveness of the method is enhanced when we use several functions. Thus, using the next function gives the restriction of the already constructed localizing set. An iteration procedure for sequential narrowing of the localizing set [1{2] arises.

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    Effectiveness of the method is enhanced when we use several functions. Thus, using the next function gives the restriction of the already constructed localizing set. An iteration procedure for sequential narrowing of the localizing set
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    arises. The paper presents analysis of the iteration procedure, which naturally occur in the autonomous systems of special type where the right side of each differential equation is resolvable relative to the corresponding phase variable.

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Krishchenko A.P. Estimations of domains with cycles.Computers and Mathematics with Applications, 1997, vol. 34, iss. 2-4, pp. 325{332. DOI:10.1016/S0898-1221(97)00130-2
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     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
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    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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    ›ÙÙÂÍÚË‚ÌÓÒÚ ̧ ÙÛÌ͈ËÓ̇Π̧ÌÓ„Ó ÏÂÚÓ‰‡ ÛÒËÎË‚‡ÂÚÒˇ ÔË ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓÏ ÔËÏÂÌÂÌËË ÌÂÒÍÓÎ ̧ÍËı ÙÛÌ͈ËÈ. œË ̋ÚÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËÂ Ó ̃Â‰ÌÓÈ ÙÛÌ͈ËË ÔË‚Ó‰ËÚ Í ÛÚÓ ̃ÌÂÌË ̨ ÛÊ ÔÓÒÚÓÂÌÌÓ„Ó ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡. ¬ÓÁÌË͇ÂÚ ËÚÂ‡ˆËÓÌ̇ˇ Ôӈ‰Û‡ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÒÛÊÂÌˡ ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡
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    . Õ‡ÒÚÓˇ ̆‡ˇ ‡·ÓÚ‡ ÔÓÒ‚ˇ ̆Â̇ ‡Ì‡ÎËÁÛ Û͇Á‡ÌÌÓÈ ËÚÂ‡ˆËÓÌÌÓÈ Ôӈ‰Û ̊, ÂÒÚÂÒÚ‚ÂÌÌ ̊Ï Ó·‡ÁÓÏ ‚ÓÁÌË͇ ̨ ̆ÂÈ ‚ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂχı ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡, ‚ ÍÓÚÓ ̊ı Ô‡‚‡ˇ ̃‡ÒÚ ̧ Í‡Ê‰Ó„Ó ‰ËÙÙÂÂ̈ˇΠ̧ÌÓ„Ó Û‡‚ÌÂÌˡ ‡Á ̄Ëχ ÓÚÌÓÒËÚÂÎ ̧ÌÓ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Ù‡ÁÓ‚ÓÈ ÔÂÂÏÂÌÌÓÈ.

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Krishchenko A.P. Localization of Invariant Compact Sets of Dynamical Systems.Differentsial'nye uravnenija, 2005, vol. 41, no. 12, pp. 1597{1604. (English version:Differential Equations, 2005, vol. 41, no. 12, pp. 1669{1676. DOI:10.1007/s10625-006-0003-6).
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     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
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    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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    Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰
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    . ›ÙÙÂÍÚË‚ÌÓÒÚ ̧ ÙÛÌ͈ËÓ̇Π̧ÌÓ„Ó ÏÂÚÓ‰‡ ÛÒËÎË‚‡ÂÚÒˇ ÔË ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓÏ ÔËÏÂÌÂÌËË ÌÂÒÍÓÎ ̧ÍËı ÙÛÌ͈ËÈ. œË ̋ÚÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËÂ Ó ̃Â‰ÌÓÈ ÙÛÌ͈ËË ÔË‚Ó‰ËÚ Í ÛÚÓ ̃ÌÂÌË ̨ ÛÊ ÔÓÒÚÓÂÌÌÓ„Ó ÎÓ͇ÎËÁËÛ ̨ ̆Â„Ó ÏÌÓÊÂÒÚ‚‡.

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Kanatnikov A.N., Krishchenko A.P. Localization of invariant compact sets of nonautonomous systems.Differentsial'nye uravnenija, 2009, vol. 45, no. 1, pp. 47{53. (English version:Differential Equations, 2009, vol. 45, no. 1, pp. 46{52. DOI:10.1134/S0012266109010054).
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  1. In-text reference with the coordinate start=2034
    Prefix
     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
    Exact
    [2,3,4,5,6,7,8]
    Suffix
    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

5
Kanatnikov A.N., Korovin S.K., Krishchenko A.P. Localization of invariant compact sets of discrete systems.Doklady RAN, 2010, vol. 431, no. 3, pp. 323{325. (English Translation: Doklady Mathematics, 2010, vol. 81, no. 2, pp. 326{328. DOI:10.1134/S1064562410020444).
Total in-text references: 1
  1. In-text reference with the coordinate start=2034
    Prefix
     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
    Exact
    [2,3,4,5,6,7,8]
    Suffix
    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

6
Kanatnikov A.N., Korovin S.K., Krishchenko A.P. Localization of compact invariant sets of discrete-time systems with disturbances.Doklady RAN, 2011, vol. 438, no. 6, pp. 743{
Total in-text references: 1
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     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
    Exact
    [2,3,4,5,6,7,8]
    Suffix
    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

7
6. (English Translation:Doklady Mathematics, 2011, vol. 83, no. 3, pp. 433{435. DOI: 10.1134/S1064562411030392). 7.Starkov K.E. Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems. Phys. Lett. A, 2011, vol. 375, iss. 36, pp. 3184{3187. DOI:10.1016/j.physleta.2011.06.064
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     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
    Exact
    [2,3,4,5,6,7,8]
    Suffix
    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Starkov K.E. Localizing bounds for compact invariant sets of nonlinear systems possessing first integrals with applications to Hamiltonian systems.Int. J. of Bifurcation and Chaos, 2010, vol. 20, no. 5, pp. 1477{1483. DOI:10.1142/S0218127410026629
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    Prefix
     ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â Ë„‡ÂÚ ÍÎ ̨ ̃Â‚Û ̨ ÓÎ ̧ ‚Ó ÏÌÓ„Ëı ÔËÎÓÊÂÌˡı ÚÂÓËË ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ. «‡‰‡ ̃Ë ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÌ ̊ı ÏÌÓÊÂÒÚ‚ ÔËÏ ͇̊ ̨Ú Í ‰Û„ËÏ ‚‡ÊÌ ̊Ï Á‡‰‡ ̃‡Ï, ̇ÔËÏÂ, Í Á‡‰‡ ̃‡Ï ÓˆÂÌÍË Ó·Î‡ÒÚÂÈ ÔËÚˇÊÂÌˡ ‡ÚÚ‡ÍÚÓÓ‚, Á‡‰‡ ̃‡Ï ÛÔ‡‚ΡÂÏÓÒÚË Ë Ú.Ô. «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ
    Exact
    [2,3,4,5,6,7,8]
    Suffix
    , Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ, [9,10,11,12,13,14,15,16]). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Krishchenko A.P., Starkov K.E. Localization of compact invariant sets of the Lorenz system. Phys. Lett. A, 2006, vol. 353, iss. 5, pp. 383{388. DOI:10.1016/j.physleta.2005.12.104
Total in-text references: 2
  1. In-text reference with the coordinate start=2153
    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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    Back investigations of localization problems was oriented both to development of solving methods [28] and to investigation of particular dynamical systems encountered in applications (see, for example,
    Exact
    [9{16]
    Suffix
    ). One of quite efficient methods of localization problem solving is based on smooth functions defined in the phase space. It is so called functional method [1{3]. Effectiveness of the method is enhanced when we use several functions.

10
Krishchenko A.P., Starkov K.E. Localization of compact invariant sets of nonlinear systems with application to the Lanford systems.Int. J. of Bifurcation and Chaos, 2006, vol. 16, no. 11, pp. 3249{3256. DOI:10.1142/S0218127406016768
Total in-text references: 2
  1. In-text reference with the coordinate start=2153
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    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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    ≈‰ËÌÒÚ‚ÂÌÌÓ ӄ‡ÌË ̃ÂÌË | ÌÂÎ ̧Áˇ Ó‰ÌÛ Ë ÚÛ Ê ÙÛÌÍˆË ̨ ËÒÔÓÎ ̧ÁÓ‚‡Ú ̧ ÔÓ‰ˇ‰: ÂÒÎËφk=φk−1, ÚÓΩk= Ωk−1. »ÚÂ‡ˆËÓÌ̇ˇ Ôӈ‰Û‡ ̇ ̄· Ò‚Ó ÔËÏÂÌÂÌË ÔË ËÒÒΉӂ‡ÌËË ÍÓÌÍÂÚÌ ̊ı ÒËÒÚÂÏ, Ӊ̇ÍÓ ÔËÏÂ ̊  ËÒÔÓÎ ̧ÁÓ‚‡Ìˡ Ó„‡ÌË ̃Ë‚‡ ̨ÚÒˇ Ó‰ÌËÏ-‰‚ÛÏˇ ̄‡„‡ÏË (ÒÏ., ̇ÔËÏÂ,
    Exact
    [10]
    Suffix
    ). 2. ¿‚ÚÓÌÓÏÌ ̊ ÒËÒÚÂÏ ̊ ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡ ¬ ‡‚ÚÓÌÓÏÌÓÈ ÒËÒÚÂÏ (1) ÔÓ·„‡ÂÏ, ̃ÚÓ Í‡Ê‰Ó Û‡‚ÌÂÌËÂfi(x) = 0,i=1, n, ÏÓÊÂÚ · ̊Ú ̧ ‡Á ̄ÂÌÓ ÓÚÌÓÒËÚÂÎ ̧ÌÓ ÔÂÂÏÂÌÌÓÈxi, Ú.Â. ̋Í‚Ë‚‡ÎÂÌÚÌÓ ÌÂÍÓÚÓÓÏÛ Û‡‚ÌÂÌË ̨xi= =hi(ˆxi), „‰Âˆxi= (x1, ..., xi−1, xi+1, ..., xn)(ÒÓ‚ÓÍÛÔÌÓÒÚ ̧ ‚ÒÂı ÔÂÂÏÂÌÌ ̊ı, ÍÓÏÂxi).

11
Starkov K.E. Estimation of the domain containing all compact invariant sets of the optically injected laser system.Int. J. of Bifurcation and Chaos, 2007, vol. 17, iss. 11, pp. 4213{4216. DOI:10.1142/S0218127407019755
Total in-text references: 1
  1. In-text reference with the coordinate start=2153
    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Zhang F., Mu C., Li X. On the boundness of some solutions of the Lu system.Int. J. of Bifurcation and Chaos, 2012, vol. 22, no. 1, art. no. 1250015. DOI:10.1142/S0218127412500150
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    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Mu C., Zhang F., Shu Y., Zhou S. On the boundedness of solutions to the Lorenzlike family of chaotic systems.Nonlin. Dyn., 2012, vol. 67, iss. 2, pp. 987{996. DOI: 10.1007/s11071-011-0041-3
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    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Cai G., Yu H., Li Y. Localization of compact invariant sets of a new nonlinear finance chaotic system.Nonlin. Dyn., 2012, vol. 69, no. 4, pp. 2269{2275. DOI:10.1007/s11071-012-0425-z
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    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

15
Kanatnikov A.N., Fedorova Yu.P. Localization of invariant compact sets of two-dimensional continuous dynamical systems.Nauka i obrazovanie MGTU im. N.E. Baumana=Science and Education of the Bauman MSTU, 2013, no. 7, pp. 159{174. DOI:10.7463/0713.0583104(in Russian).
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    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Kanatnikov A.N., Mikhaylova O.V. Localization of invariant compact sets of the discrete-time Lozi system.Nauka i obrazovanie MGTU im. N.E. Baumana=Science and Education of the Bauman MSTU, 2013, no. 8, pp. 121{134. DOI:10.7463/0813.0609276(in Russian).
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    Prefix
    «‡ ÔÓ ̄‰ ̄ ‚ÂÏˇ ËÒÒΉӂ‡Ìˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË · ̊ÎË Ì‡Ô‡‚ÎÂÌ ̊ Í‡Í Ì‡ ‡Á‡·ÓÚÍÛ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ [2,3,4,5,6,7,8], Ú‡Í Ë Ì‡ ËÒÒΉӂ‡ÌË ÍÓÌÍÂÚÌ ̊ı ‰Ë̇ÏË ̃ÂÒÍËı ÒËÒÚÂÏ, ‚ÒÚ ̃‡ ̨ ̆ËıÒˇ ‚ ÔËÎÓÊÂÌˡı (ÒÏ., ̇ÔËÏÂ,
    Exact
    [9,10,11,12,13,14,15,16]
    Suffix
    ). Œ‰ËÌ ËÁ ÏÂÚÓ‰Ó‚  ̄ÂÌˡ Á‡‰‡ ̃ ÎÓ͇ÎËÁ‡ˆËË, Ó͇Á‡‚ ̄ËÈÒˇ ‚ÂÒ ̧χ ̋ÙÙÂÍÚË‚Ì ̊Ï, ÓÒÌÓ‚‡Ì ̇ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË „·‰ÍËı ÙÛÌ͈ËÈ, ÓÔ‰ÂÎÂÌÌ ̊ı ‚ Ù‡ÁÓ‚ÓÏ ÔÓÒÚ‡ÌÒÚ‚Â ÒËÒÚÂÏ ̊, ̋ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊È ÙÛÌ͈ËÓ̇Π̧Ì ̊È ÏÂÚÓ‰ [1,3].

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Yukalov V.I., Yukalova E.P., Sornette D. New Approach to Modeling Symbiosis in Biological and Social Systems.Int. J. of Bifurcation and Chaos, 2014, vol. 24, no. 9, art. no. 1450117. DOI:10.1142/S021812741450117X
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  1. In-text reference with the coordinate start=3076
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    Õ‡ÒÚÓˇ ̆‡ˇ ‡·ÓÚ‡ ÔÓÒ‚ˇ ̆Â̇ ‡Ì‡ÎËÁÛ Û͇Á‡ÌÌÓÈ ËÚÂ‡ˆËÓÌÌÓÈ Ôӈ‰Û ̊, ÂÒÚÂÒÚ‚ÂÌÌ ̊Ï Ó·‡ÁÓÏ ‚ÓÁÌË͇ ̨ ̆ÂÈ ‚ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂχı ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡, ‚ ÍÓÚÓ ̊ı Ô‡‚‡ˇ ̃‡ÒÚ ̧ Í‡Ê‰Ó„Ó ‰ËÙÙÂÂ̈ˇΠ̧ÌÓ„Ó Û‡‚ÌÂÌˡ ‡Á ̄Ëχ ÓÚÌÓÒËÚÂÎ ̧ÌÓ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Ù‡ÁÓ‚ÓÈ ÔÂÂÏÂÌÌÓÈ. “‡ÍË ÒËÒÚÂÏ ̊ ‚ÒÚ ̃‡ ̨ÚÒˇ ‚ ÔËÎÓÊÂÌˡı
    Exact
    [17]
    Suffix
    . –‡·ÓÚ‡ Ó„‡ÌËÁÓ‚‡Ì‡ ÒÎÂ‰Û ̨ ̆ËÏ Ó·‡ÁÓÏ. ¬ Ô. 1 ‚ ÒÓÓÚ‚ÂÚÒÚ‚ËË Ò [1] ‰‡Ì ̊ ÌÂÓ·ıÓ‰ËÏ ̊ ÓÔ‰ÂÎÂÌˡ Ë ÒÙÓÏÛÎËÓ‚‡Ì ̊ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆Ë ÂÁÛÎ ̧Ú‡Ú ̊. ¬ Ô. 2 ËÁÛ ̃Â̇ Á‡‰‡ ̃‡ ÎÓ͇ÎËÁ‡ˆËË ËÌ‚‡ˇÌÚÌ ̊ı ÍÓÏÔ‡ÍÚÓ‚ ‰Îˇ ‡‚ÚÓÌÓÏÌ ̊ı ÒËÒÚÂÏ Û͇Á‡ÌÌÓ„Ó ÒÔˆˇΠ̧ÌÓ„Ó ‚ˉ‡.

  2. In-text reference with the coordinate start=21804
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    The paper presents analysis of the iteration procedure, which naturally occur in the autonomous systems of special type where the right side of each differential equation is resolvable relative to the corresponding phase variable. Such systems are encountered in applications
    Exact
    [17]
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    .