ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

被引：40
|
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
  • [1] Entropy of Nonautonomous Dynamical Systems
    Kawan, Christoph
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 179 - 191
  • [2] Topological entropy of nonautonomous dynamical systems
    Random Comput Dyn, 2-3 (205):
  • [3] Topological entropy of nonautonomous dynamical systems
    Liu, Kairan
    Qiao, Yixiao
    Xu, Leiye
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (09) : 5353 - 5365
  • [4] Remarks on Topological Entropy of Nonautonomous Dynamical Systems
    Li, Zhiming
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (12):
  • [5] Pesin topological entropy of nonautonomous dynamical systems
    Ju, Yujun
    Yang, Qigui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 500 (02)
  • [6] Topological entropy dimension for nonautonomous dynamical systems
    Li, Zhiqiang
    Zhang, Wenda
    Wang, Wei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 475 (02) : 1978 - 1991
  • [7] Pre-image entropy of nonautonomous dynamical systems
    Huang, Xianjiu
    Wen, Xi
    Zeng, Fanping
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 21 (03) : 441 - 445
  • [8] PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
    Xianjiu HUANG Department of Mathematics
    Journal of Systems Science & Complexity, 2008, (03) : 441 - 445
  • [9] The Variational Principle for the Packing Entropy of Nonautonomous Dynamical Systems
    Zhang, Ruifeng
    Zhu, Jianghui
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (04) : 1915 - 1924
  • [10] PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS*
    Xianjiu Huang
    Xi Wen
    Fanping Zeng
    Journal of Systems Science and Complexity, 2008, 21
12345