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
  • [41] COVERING HYPERSPACE WITH HYPERCURVES
    SIMMS, JC
    ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1991, 37 (05): : 393 - 400
  • [42] Continua with unique hyperspace
    Acosta, G
    CONTINUUM THEORY, 2002, 230 : 33 - 49
  • [43] On the symmetric hyperspace of the circle
    Chinen, Naotsugu
    Koyama, Akira
    TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (17) : 2613 - 2621
  • [44] A SHADOW ALGORITHM FOR HYPERSPACE
    LIU, M
    BURTON, RP
    CAMPBELL, DM
    COMPUTER GRAPHICS WORLD, 1984, 7 (07) : 51 - &
  • [45] INFIMA OF HYPERSPACE TOPOLOGIES
    COSTANTINI, C
    LEVI, S
    PELANT, J
    MATHEMATIKA, 1995, 42 (83) : 67 - 86
  • [46] The metaphysics of hyperspace.
    De Clercq, Rafael
    TIJDSCHRIFT VOOR FILOSOFIE, 2006, 68 (03): : 672 - 673
  • [47] Intelligent mapping of hyperspace
    Ralha, CG
    Ralha, JCL
    IEEE/WIC INTERNATIONAL CONFERENCE ON WEB INTELLIGENCE, PROCEEDINGS, 2003, : 454 - 457
  • [48] Hyperspace for space travel
    Fontana, Giorgio
    Murad, Paul
    Baker, Robert M. L., Jr.
    SPACE TECHNOLOGY AND APPLICATIONS INTERNATIONAL FORUM - STAIF 2007, 2007, 880 : 1117 - +
  • [49] Higher spins in hyperspace
    Ioannis Florakis
    Dmitri Sorokin
    Mirian Tsulaia
    Journal of High Energy Physics, 2014
  • [50] Quasicrystals - Interfaces to Hyperspace
    Steurer, Walter
    NACHRICHTEN AUS DER CHEMIE, 2011, 59 (11) : 1035 - 1038
12345