Topological Equiconjugacy for Unimodal Nonautonomous Discrete Dynamical Systems with Limit Property

被引：0
|
作者：
Araujo, Ermerson [1 ]
机构：
[1] Univ Fed Maranhao UFMA, CCET, Dept Matemat, Cidade Univ Dom Delgado, BR-65080805 Sao Luis, Maranhao, Brazil
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 01期
关键词：
Combinatorial equivalence; Kneading sequences; Unimodal maps; CHAOS;
D O I：
10.1007/s12346-021-00533-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this article is to study how combinatorial equivalence implies topological equiconjugacy. For that we introduce kneading sequences for a particular class of nonautonomous discrete dynamical systems and show that these sequences are a complete invariant for topological equiconjugacy classes.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] Transitivity and Shadowing Properties of Nonautonomous Discrete Dynamical Systems
    Pi, Jingmin
    Lu, Tianxiu
    Xue, Yanfu
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (16):
  • [32] Forward Attractors in Discrete Time Nonautonomous Dynamical Systems
    Kloeden, Peter E.
    Lorenz, Thomas
    Yang, Meihua
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, ICDDEA 2015, 2016, 164 : 313 - 322
  • [33] Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
    Kolyada, S
    Misiurewicz, M
    Snoha, L
    FUNDAMENTA MATHEMATICAE, 1999, 160 (02) : 161 - 181
  • [34] LIMIT FUNCTIONS OF DISCRETE DYNAMICAL SYSTEMS
    Beise, H. -P.
    Meyrath, T.
    Mueller, J.
    CONFORMAL GEOMETRY AND DYNAMICS, 2014, 18 : 56 - 64
  • [35] The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems
    A. N. Vetokhin
    Mathematical Notes, 2019, 106 : 327 - 333
  • [36] Topological and Measure-Theoretical Entropies of Nonautonomous Dynamical Systems
    Bis, Andrzej
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (01) : 273 - 285
  • [37] Topological and Measure-Theoretical Entropies of Nonautonomous Dynamical Systems
    Andrzej Biś
    Journal of Dynamics and Differential Equations, 2018, 30 : 273 - 285
  • [38] The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems
    Vetokhin, A. N.
    MATHEMATICAL NOTES, 2019, 106 (3-4) : 327 - 333
  • [39] ON DISRUPTIONS OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS IN THE CONTEXT OF THEIR LOCAL PROPERTIES
    Pawlak, Ryszard J.
    Korczak-Kubiak, Ewa
    Loranty, Anna
    MATHEMATICA SLOVACA, 2017, 67 (06) : 1543 - 1556
  • [40] Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems
    Thakkar, Dhaval
    Das, Ruchi
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (05) : 676 - 686
12345