Localizing sets for invariant compact sets of continuous dynamical systems with a perturbation

被引：0
作者：
A. N. Kanatnikov
机构：
[1] Bauman State Technical University,
来源：
Differential Equations | 2012年 / 48卷
关键词：
Localization Problem; Discrete System; Lorenz System; Chaos Soliton Fractal; Nonautonomous System;
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暂无
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学科分类号：
摘要：
A functional method of localization of invariant compact sets, which was earlier developed for autonomous continuous and discrete systems, is generalized to continuous dynamical systems with perturbations. We describe properties of the corresponding localizing sets. By using that method, we construct localizing sets for positively invariant compact sets of the Lorenz system with a perturbation.
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页码：1461 / 1469
页数：8
相关论文
共 38 条
[1]  
Krishchenko A.P.(1995)Localization of Limit Cycles Differ. Uravn. 31 1858-1865
[2]  
Krishchenko A.P.(1997)Estimations of Domains with Cycles Comput. Math. Appl. 34 325-332
[3]  
Krishchenko A.P.(2005)Localization of Invariant Compact Sets of Dynamical Systems Differ. Uravn. 41 1597-1604
[4]  
Krishchenko A.P.(2008)Localization of Compact Invariant Sets of Nonlinear Time-Varying Systems Internat. J. Bifur. Chaos Appl. Sci. Engrg. 18 1599-1604
[5]  
Starkov K.E.(2009)Localization of Invariant Compact Sets of Nonautonomous Systems Differ. Uravn. 45 47-53
[6]  
Kanatnikov A.N.(2010)Localization of Invariant Compact Sets of Discrete Systems Dokl. Akad. Nauk 431 323-325
[7]  
Krishchenko A.P.(2010)Functional Method of the Localization of Invariant Compact Sets in Discrete Systems Differ. Uravn. 46 1601-1611
[8]  
Kanatnikov A.N.(2011)Localization of Invariant Compact Sets of Discrete Systems with Perturbation Dokl. Akad. Nauk 438 743-746
[9]  
Korovin S.K.(2011)Localization of Invariant Compact Sets in Indefinite Discrete Systems Differ. Uravn. 47 987-992
[10]  
Krishchenko A.P.(2011)Localization of Invariant Compact Sets of Discrete Systems with Control Dokl. Akad. Nauk 441 460-463
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