On a problem of iteration invariants for distributional chaos

被引：10
|
作者：
Dvorakova, J. [1 ]
机构：
[1] Silesian Univ, Math Inst, CZ-74601 Opava, Czech Republic
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期
关键词：
Distributional chaos; Iteration invariant; Continuous maps; Compact metric space; 3; VERSIONS;
D O I：
10.1016/j.cnsns.2011.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that if f is a DC3 continuous map of a compact metric space then also f(N) is DC3, for every N > 0. This solves a problem given by [Li R. A note on the three versions of distributional chaos. Commun Nonlinear Sci Numer Simulat 2011:16:1993-1997]. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：785 / 787
页数：3
相关论文
共 50 条
  • [31] Specification properties and dense distributional chaos
    Oprocha, Piotr
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 17 (04) : 821 - 833
  • [32] Generalized specification property and distributional chaos
    Balibrea, F
    Schweizer, B
    Sklar, A
    Smítal, J
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (07): : 1683 - 1694
  • [33] A note on the three versions of distributional chaos
    Li, Risong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 1993 - 1997
  • [34] MIXING INVARIANT EXTREMAL DISTRIBUTIONAL CHAOS
    Wang, Lidong
    Wang, Xiang
    Lei, Fengchun
    Liu, Heng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (11) : 6533 - 6538
  • [35] On variants of distributional chaos in dimension one
    Malek, Michal
    Oprocha, Piotr
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2011, 26 (03): : 273 - 285
  • [36] Strong distributional chaos and minimal sets
    Balibrea, F.
    Smital, J.
    TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (09) : 1673 - 1678
  • [37] Generic and dense distributional chaos with shadowing
    Kawaguchi, Noriaki
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (10) : 1456 - 1481
  • [38] A Class of Hyperspace Systems and Distributional Chaos
    Wang Wei
    Zhu Xiaogang
    APPLIED MECHANICS, MATERIALS AND MANUFACTURING IV, 2014, 670-671 : 1570 - 1572
  • [39] Distributional chaos for operators on Banach spaces
    Bernardes, N. C., Jr.
    Bonilla, A.
    Peris, A.
    Wu, X.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 459 (02) : 797 - 821
  • [40] Distributional chaos via isolating segments
    Oprocha, Piotr
    Wilczynski, Pawel
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2007, 8 (02): : 347 - 356
12345