ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

被引：39
|
作者：
Zhu, Yujun [1 ]
Liu, Zhaofeng [1 ]
Xu, Xueli [1 ]
Zhang, Wenda [1 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 01期
基金：
中国国家自然科学基金;
关键词：
nonautonomous dynamical system; random dynamical system; topological entropy; measure-theoretic entropy; TOPOLOGICAL-ENTROPY;
D O I：
10.4134/JKMS.2012.49.1.165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.
引用
收藏
页码：165 / 185
页数：21
相关论文
共 50 条
  • [21] The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems
    A. N. Vetokhin
    Mathematical Notes, 2019, 106 : 327 - 333
  • [22] The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems
    Vetokhin, A. N.
    MATHEMATICAL NOTES, 2019, 106 (3-4) : 327 - 333
  • [23] The entropy formula of shrinking target problem in nonautonomous dynamical systems
    Tang, Yanjie
    Lin, Xiaojun
    Ma, Dongkui
    Ye, Xiaojiang
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2024, 39 (03): : 547 - 567
  • [24] A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
    Zhang, Bin
    Liu, Lei
    OPEN MATHEMATICS, 2022, 20 (01): : 1715 - 1722
  • [25] A concept of local metric entropy for finite-time nonautonomous dynamical systems
    Luu Hoang Duc
    Siegmund, Stefan
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (02) : 165 - 179
  • [26] CHAOS IN NONAUTONOMOUS DYNAMICAL SYSTEMS
    Oprocha, Piotr
    Wilczynski, Pawel
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (03): : 209 - 221
  • [27] On Nonautonomous Discrete Dynamical Systems
    Thakkar, Dhaval
    Das, Ruchi
    INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
  • [28] Nonautonomous Projected Dynamical Systems
    Cojocaru, Monica Gabriela
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 1479 - 1482
  • [29] SYNCHRONIZATION OF NONAUTONOMOUS DYNAMICAL SYSTEMS
    Kloeden, Peter E.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
  • [30] ENTROPIES OF NONAUTONOMOUS DYNAMICAL SYSTEMS
    Wang, Ying
    Yang, Kexiang
    Zhang, Guohua
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
12345