The asymptotic average-shadowing property and transitivity for flows

被引：12

作者：

Gu, Rongbao ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Finance, Nanjing 210046, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期

关键词：

DYNAMICAL-SYSTEMS;

D O I：

10.1016/j.chaos.2008.08.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic average-shadowing property is introduced for flows and the relationships between this property and transitivity for flows are investigated. It is shown that a flow on a compact metric space is chain transitive if it has positively (or negatively) asymptotic average-shadowing property and a positively (resp. negatively) Lyapunov stable flow is positively (resp. negatively) topologically transitive provided it has positively (resp. negatively) asymptotic average-shadowing property. Furthermore, two conditions for which a flow is a minimal flow are obtained. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2234 / 2240

页数：7

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