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

被引：4

作者：

Kanatnikov, A. N. ^{[1
]}

机构：

[1] Bauman State Tech Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

LOCALIZATION;

D O I：

10.1134/S0012266112110031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1461 / 1469

页数：9

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