SHADOWING PROPERTY OF RANDOM LINEAR COCYCLES

被引:0
|
作者
Fakhari, Abbas [1 ]
Golmakani, Ali [2 ]
机构
[1] Shahid Beheshti Univ, Dept Math, Gc Tehran 19839, Iran
[2] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil
来源
关键词
Random hyperbolic cocycle; Lipschitz shadowing; Non-zero Lyapunov exponents; ORBIT-TRACING-PROPERTY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this brief note, it is shown that the random hyperbolicity of a random linear cocycle is equivalent to having the Lipschitz shadowing property.
引用
收藏
页码:190 / 196
页数:7
相关论文
共 50 条
  • [1] Dynamic properties of random linear cocycles
    Lee, Manseob
    Oh, Jumi
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023,
  • [2] Dynamic properties of random linear cocycles
    Lee, Manseob
    Oh, Jumi
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (11)
  • [3] Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems
    Jiao, Lixin
    Wang, Lidong
    Li, Fengquan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (12):
  • [4] Exponential closing property and approximation of Lyapunov exponents of linear cocycles
    Dai, Xiongping
    FORUM MATHEMATICUM, 2011, 23 (02) : 321 - 347
  • [5] Quasi-shadowing Property on Random Partially Hyperbolic Sets
    Lin WANG
    Xin Sheng WANG
    Yu Jun ZHU
    Acta Mathematica Sinica,English Series, 2018, (09) : 1429 - 1444
  • [6] Quasi-shadowing Property on Random Partially Hyperbolic Sets
    Wang, Lin
    Wang, Xin Sheng
    Zhu, Yu Jun
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (09) : 1429 - 1444
  • [7] Quasi-shadowing Property on Random Partially Hyperbolic Sets
    Lin Wang
    Xin Sheng Wang
    Yu Jun Zhu
    Acta Mathematica Sinica, English Series, 2018, 34 : 1429 - 1444
  • [8] Quasi-shadowing Property on Random Partially Hyperbolic Sets
    Lin WANG
    Xin Sheng WANG
    Yu Jun ZHU
    Acta Mathematica Sinica, 2018, 34 (09) : 1429 - 1444
  • [9] Shadowing and inverse shadowing property on circle
    韩英豪
    葛琦
    南华
    延边大学学报(自然科学版), 2005, (03) : 161 - 164
  • [10] On genericity of shadowing and periodic shadowing property
    Koscielniak, P
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (01) : 188 - 196