Weakly mixing sets and transitive sets for non-autonomous discrete systems

被引:3
|
作者
Liu, Lei [1 ,2 ]
Sun, Yuejuan [1 ]
机构
[1] Shangqiu Normal Univ, Sch Math & Informat Sci, Shangqiu 476000, Henan, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
关键词
non-autonomous discrete system; weakly mixing set; transitive set; OMEGA-LIMIT SETS; DYNAMICAL-SYSTEMS; CHAOS; ENTROPY;
D O I
10.1186/1687-1847-2014-217
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we mainly study the weakly mixing sets and transitive sets of non-autonomous discrete systems. Some basic concepts are introduced for non-autonomous discrete systems, including a weakly mixing set and a transitive set. We discuss the basic properties of weakly mixing sets and transitive sets of non-autonomous discrete systems. Also, we investigate the relationship between two conjugated non-autonomous discrete systems on weakly mixing sets and transitive sets.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] Multi-transitivity in non-autonomous discrete systems
    Salman, Mohammad
    Das, Ruchi
    TOPOLOGY AND ITS APPLICATIONS, 2020, 278
  • [32] Non-autonomous difference equations and discrete dynamical systems
    Kloeden, Peter E.
    Poetzsche, C.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (02) : 129 - 130
  • [33] Weak stability of non-autonomous discrete dynamical systems
    Lan, Yaoyao
    Peris, Alfred
    TOPOLOGY AND ITS APPLICATIONS, 2018, 250 : 53 - 60
  • [34] Reiterative Distributional Chaos in Non-autonomous Discrete Systems
    Zongbin Yin
    Qiaomin Xiang
    Xinxing Wu
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [35] ERGODICITY OF NON-AUTONOMOUS DISCRETE SYSTEMS WITH NON-UNIFORM EXPANSION
    Barrientos, Pablo G.
    Fakhari, Abbas
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (04): : 1361 - 1382
  • [36] TRANSVERSAL HOMOCLINIC POINTS AND HYPERBOLIC SETS FOR NON-AUTONOMOUS MAPS .1.
    STOFFER, D
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1988, 39 (04): : 518 - 549
  • [37] TRANSVERSAL HOMOCLINIC POINTS AND HYPERBOLIC SETS FOR NON-AUTONOMOUS MAPS-II
    STOFFER, D
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1988, 39 (06): : 783 - 812
  • [38] A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms
    Hadaeghi, Fatemeh
    Golpayegani, Seyed Mohammad Reza Hashemi
    Gardini, Laura
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 281 : 343 - 355
  • [39] Attracting and quasi-invariant sets of non-autonomous neural networks with delays
    Xu, Daoyi
    Long, Shujun
    NEUROCOMPUTING, 2012, 77 (01) : 222 - 228
  • [40] WEAKLY MIXING SETS OF INTEGERS AND POLYNOMIAL EQUATIONS
    Konieczny, Jakub
    QUARTERLY JOURNAL OF MATHEMATICS, 2017, 68 (01): : 141 - 159