DYNAMICS OF RANDOM DYNAMICAL SYSTEMS

被引:0
|
作者
Azjargal, Enkhbayar [1 ]
Choinkhor, Zorigt [1 ]
Tsegmid, Nyamdavaa [1 ]
机构
[1] Mongolian Natl Univ Educ, Dept Math, Baga Toiruu 14, Ulan Bator 141910068, Mongolia
关键词
& omega; -expansive; shadowing property; topologically stable;
D O I
10.4134/BKMS.b220595
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concept of ?-expansive of random map on compact metric spaces P. Also we introduce the definitions of positively, negatively shadowing property and shadowing property for two-sided RDS. Then we show that if f is ?-expansive and has the shad-owing property for w, then f is topologically stable for ?.
引用
收藏
页码:1131 / 1139
页数:9
相关论文
共 50 条
  • [1] Shadowing in random dynamical systems
    He, LF
    Zhu, YJ
    Zheng, HW
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (02) : 355 - 362
  • [2] Countably Expansiveness for Continuous Dynamical Systems
    Lee, Manseob
    Oh, Jumi
    MATHEMATICS, 2019, 7 (12)
  • [3] TOPOLOGICAL STABILITY IN HYPERSPACE DYNAMICAL SYSTEMS
    Koo, Namjip
    Lee, Hyunhee
    Tsegmid, Nyamdavaa
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (04): : 1309 - 1318
  • [4] Limited computational ability and approximation of dynamical systems
    Colucci D.
    Computational Economics, 2001, 17 (2-3) : 155 - 178
  • [5] A note on the uniform limit of transitive dynamical systems
    Fedeli, Alessandro
    Le Donne, Attilio
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (01) : 59 - 66
  • [6] Transitivity and Shadowing Properties of Nonautonomous Discrete Dynamical Systems
    Pi, Jingmin
    Lu, Tianxiu
    Xue, Yanfu
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (16):
  • [7] Continuum-wise expansiveness for discrete dynamical systems
    Manseob Lee
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [8] CHAIN TRANSITIVITY AND SHADOWING PROPERTY IN QUANTUM DYNAMICAL SYSTEMS
    Khare, Mona
    Chauhan, Ravi Singh
    REPORTS ON MATHEMATICAL PHYSICS, 2024, 93 (02) : 195 - 211
  • [9] Theory of pseudo-orbit shadowing in dynamical systems
    S. Yu. Pilyugin
    Differential Equations, 2011, 47 : 1929 - 1938
  • [10] e-Chaotic Generalized Shift Dynamical Systems
    Shirazi, Fatemah Ayatollah Zadeh
    Zabeti, Hooman
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2015, 47 (01): : 135 - 140