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
收藏
页码：231 / 240
页数：10
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