On some dense sets in the space of dynamical systems

被引:1
|
作者
Pawlak, Ryszard J. [1 ]
Poprawa, Justyna [1 ]
机构
[1] Univ Lodz, Fac Math & Comp Sci, PL-90137 Lodz, Poland
关键词
dynamical systems; entropy; chaotic points; chaos; non-autonomous discrete dynamical system; CHAOS; ENTROPY;
D O I
10.1515/ans-2022-0053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue. In this article, we will focus on this problem in the context of "points focusing chaos." We aim to show their mutual independence by considering the sets of appropriate periodic dynamical systems in the space of discrete dynamical systems.
引用
收藏
页数:15
相关论文
共 50 条
  • [41] Invariant trajectory classification of dynamical systems with a case study on ECG
    Noponen, Kai
    Kortelainen, Jukka
    Seppanen, Tapio
    PATTERN RECOGNITION, 2009, 42 (09) : 1832 - 1844
  • [42] Analysis of seismic dynamical systems
    M. Urquizú
    A. M. Correig
    Journal of Seismology, 1998, 2 : 159 - 171
  • [43] Learning Trajectories of Dynamical Systems
    Hein, Helle
    Lepik, Uelo
    MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (04) : 519 - 531
  • [44] Weak stability of non-autonomous discrete dynamical systems
    Lan, Yaoyao
    Peris, Alfred
    TOPOLOGY AND ITS APPLICATIONS, 2018, 250 : 53 - 60
  • [45] Analysis of seismic dynamical systems
    Urquizú, M
    Correig, AM
    JOURNAL OF SEISMOLOGY, 1998, 2 (02) : 159 - 171
  • [46] Order and Chaos in Dynamical Systems
    Contopoulos, George
    MILAN JOURNAL OF MATHEMATICS, 2009, 77 (01) : 101 - 126
  • [47] Order and Chaos in Dynamical Systems
    George Contopoulos
    Milan Journal of Mathematics, 2009, 77 : 101 - 126
  • [48] Asymptotic pairs, stable sets and chaos in positive entropy systems
    Huang, Wen
    Xu, Leiye
    Yi, Yingfei
    JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (04) : 824 - 846
  • [49] The Interrelation of Motions of Dynamical Systems in a Metric Space
    A. P. Afanas’ev
    S. M. Dzyuba
    Lobachevskii Journal of Mathematics, 2022, 43 : 3414 - 3419
  • [50] The Interrelation of Motions of Dynamical Systems in a Metric Space
    Afanas'ev, A. P.
    Dzyuba, S. M.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) : 3414 - 3419