SHADOWING NEAR NONHYPERBOLIC FIXED POINTS

被引：3

作者：

Petrov, Alexey A. ^{[1
]}

Pilyugin, Sergei Yu. ^{[1
,2
]}

机构：

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

[2] St Petersburg State Electrotech Univ LETI, St Petersburg 197376, Russia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

Dynamical system; shadowing; fixed point; Lyapunov function;

D O I：

10.3934/dcds.2014.34.3761

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.

引用

页码：3761 / 3772

页数：12

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