LYAPUNOV FUNCTIONS, SHADOWING AND TOPOLOGICAL STABILITY

被引：0

作者：

Petrov, Alexey A. ^{[1
]}

Pilyugin, Sergei Yu. ^{[1
]}

机构：

[1] St Petersburg State Univ, Fac Math & Mech, St Petersburg 198504, Russia

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2014年 / 43卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Dynamical systems; shadowing; topological stability; Lyapunov functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.

引用

页码：231 / 240

页数：10

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