Continuous semi-flows with the almost average shadowing property

被引:2
|
作者
Garg, Mukta [1 ]
Das, Ruchi [1 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
关键词
Almost average shadowing property; Continuous semi-flows; Topological transitivity; Weak mixing; Strong ergodicity; DYNAMICAL PROPERTIES; FLOWS; TRANSITIVITY;
D O I
10.1016/j.chaos.2017.10.005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we introduce the notion of almost average shadowing property (ALASP) for continuous semi-flows and study its properties. We give a class of continuous semi-flows possessing the ALASP. We also investigate the relationship of the ALASP with various known dynamical properties for continuous semi-flows, for instance, topological transitivity, weak mixing, strong ergodicity, equicontinuity, sensitivity, Li-Yorke chaos and Takens and Ruelle chaos. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 50 条
  • [11] Some dynamical properties of continuous semi-flows having topological transitivity
    He, LF
    Gao, YH
    Yang, FH
    CHAOS SOLITONS & FRACTALS, 2002, 14 (08) : 1159 - 1167
  • [12] ASYMPTOTIC AVERAGE SHADOWING PROPERTY FOR FLOWS ALIREZA ZAMANI BAHABADI
    Bahabadi, Alireza Zamani
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2012, 10 (02) : 115 - 123
  • [13] A Note on the Average-Shadowing Property and Topological Ergodicity for Flows
    Li, Risong
    HIGH PERFORMANCE NETWORKING, COMPUTING, AND COMMUNICATION SYSTEMS, 2011, 163 : 39 - 45
  • [14] Erratum to "The average-shadowing property and transitivity for continuous flows" (vol 23, pg 989, 2005)
    Gu, RB
    Sheng, YQ
    Xia, ZJ
    CHAOS SOLITONS & FRACTALS, 2005, 26 (02) : 671 - 671
  • [15] Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems
    Jiao, Lixin
    Wang, Lidong
    Li, Fengquan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (12):
  • [16] Entry and return times for semi-flows
    Marklof, Jens
    NONLINEARITY, 2017, 30 (02) : 810 - 824
  • [17] On almost specification and average shadowing properties
    Kulczycki, Marcin
    Kwietniak, Dominik
    Oprocha, Piotr
    FUNDAMENTA MATHEMATICAE, 2014, 224 (03) : 241 - 278
  • [18] On the average-shadowing property
    Zhang, Y.
    Beijing Daxue Xuebao Ziran Kexue Ban/Acta Scientiarum uaturalium Universitatis Pekinensis, 2001, 37 (05): : 648 - 651
  • [19] On attractors of multivalued semi-flows and differential inclusions
    Melnik, VS
    Valero, J
    SET-VALUED ANALYSIS, 1998, 6 (01): : 83 - 111
  • [20] Average shadowing and gluing property
    Blank, Michael
    MATHEMATIKA, 2023, 69 (02) : 349 - 365