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
相关论文
共 50 条
  • [31] Asymptotic average shadowing property, almost specification property and distributional chaos
    Wang, Lidong
    Wang, Xiang
    Lei, Fengchun
    Liu, Heng
    MODERN PHYSICS LETTERS B, 2016, 30 (03):
  • [32] Divergence-free vector fields with average and asymptotic average shadowing property
    Bahabadi, Alireza Zamani
    CHAOS SOLITONS & FRACTALS, 2012, 45 (11) : 1358 - 1360
  • [33] On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property
    Niu, Yingxuan
    Su, Shoubao
    CHAOS SOLITONS & FRACTALS, 2011, 44 (06) : 429 - 432
  • [34] M-Shadowing and Transitivity for Flows
    Wang, Jianjun
    Lu, Tianxiu
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (02) : 583 - 593
  • [35] Continuous semi-flows with the almost average shadowing property
    Garg, Mukta
    Das, Ruchi
    CHAOS SOLITONS & FRACTALS, 2017, 105 : 1 - 7
  • [36] Chain transitivity and variations of the shadowing property
    Brian, William R.
    Meddaugh, Jonathan
    Raines, Brian E.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 2044 - 2052
  • [37] Average shadowing and gluing property
    Blank, Michael
    MATHEMATIKA, 2023, 69 (02) : 349 - 365
  • [38] On the periodic orbits, shadowing and strong transitivity of continuous flows
    Bessa, Mario
    Torres, Maria Joana
    Varandas, Paulo
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 175 : 191 - 209
  • [39] The d -Shadowing Property and Average Shadowing Property for Iterated Function Systems
    Jiang, Jie
    Wang, Lidong
    Zhao, Yingcui
    Wang, Lidong (wld0707@126.com), 1600, Hindawi Limited, 410 Park Avenue, 15th Floor, 287 pmb, New York, NY 10022, United States (2020):
  • [40] CHAIN TRANSITIVITY AND SHADOWING PROPERTY IN QUANTUM DYNAMICAL SYSTEMS
    Khare, Mona
    Chauhan, Ravi Singh
    REPORTS ON MATHEMATICAL PHYSICS, 2024, 93 (02) : 195 - 211
12345