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
收藏
页码：2234 / 2240
页数：7
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