Chaos in hyperspace system

被引：19
|
作者：
Ma, Xianfeng [1 ]
Hou, Bingzhe [2 ]
Liao, Gongfu [2 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期
关键词：
ZERO TOPOLOGICAL-ENTROPY; TRIANGULAR MAPS;
D O I：
10.1016/j.chaos.2007.08.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (X, d) be a compact metric space and f: X -> X be continuous. Let (f) over bar be the natural extension of f to the space of all non-empty compact subsets of X endowed with the Hausdorff metric induced by d. In this paper. some dynamical properties of f and I are considered. It is shown that positive topological entropy, Li-Yorke chaos and distributional chaos of f imply those off, respectively, but not conversely. The results give art answer to the question proposed by Roman-Flores. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：653 / 660
页数：8
相关论文
共 50 条
  • [31] Chaos in a chemical system
    Srivastava, R.
    Srivastava, P. K.
    Chattopadhyay, J.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 222 (3-4): : 777 - 783
  • [32] Chaos in the Solar System
    J. Laskar
    Annales Henri Poincaré, 2003, 4 : 693 - 705
  • [33] Chaos in the solar system
    Lecar, M
    CHAOS IN GRAVITATIONAL N-BODY SYSTEMS, 1996, : 163 - 166
  • [34] Chaos in the Hill system
    Chicone, C
    Mashhoon, B
    Retzloff, DG
    HELVETICA PHYSICA ACTA, 1999, 72 (02): : 123 - 157
  • [35] Chaos in the solar system
    Lecar, M
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1996, 64 (1-2): : 163 - 166
  • [36] Chaos in the Kepler system
    Chicone, C
    Mashhoon, B
    Retzloff, DG
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (02) : 507 - 527
  • [37] Chaos in the solar system
    Lecar, M
    Franklin, FA
    Holman, MJ
    Murray, NW
    ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 2001, 39 : 581 - 631
  • [38] UNIFORM CONVERGENCE FOR A HYPERSPACE
    GAZIK, RJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (01) : 302 - 306
  • [39] The Hyperspace FnK(X)
    Castaneda-Alvarado, Enrique
    Carlos Mondragon, Roberto
    Ordonez, Norberto
    Orozco-Zitli, Fernando
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (03) : 659 - 678
  • [40] Motions in hyperspace.
    Moore, CLE
    ANNALS OF MATHEMATICS, 1917, 19 : 176 - 184
12345