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

页数：14

共 50 条

[1] Topological Equiconjugacy for Unimodal Nonautonomous Discrete Dynamical Systems with Limit Property
Ermerson Araujo
Qualitative Theory of Dynamical Systems, 2022, 21
[2] A limit set trichotomy for positive nonautonomous discrete dynamical systems
Nesemann, T
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 237 (01) : 55 - 73
[3] On Nonautonomous Discrete Dynamical Systems
Thakkar, Dhaval
Das, Ruchi
INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
[4] Topological entropy of nonautonomous dynamical systems
Random Comput Dyn, 2-3 (205):
[5] Topological entropy of nonautonomous dynamical systems
Liu, Kairan
Qiao, Yixiao
Xu, Leiye
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (09) : 5353 - 5365
[6] Chaos in nonautonomous discrete dynamical systems
Dvorakova, J.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 4649 - 4652
[7] Shadowing Property for Nonautonomous Dynamical Systems
M. Blank
Journal of Mathematical Sciences, 2024, 283 (2) : 211 - 221
[8] CHAOTIFICATION OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS
Huang, Qiuling
Shi, Yuming
Zhang, Lijuan
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (11): : 3359 - 3371
[9] On the shadowing property of nonautonomous discrete systems
Rasouli, Hossein
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2016, 7 (01): : 271 - 277
[10] Pesin topological entropy of nonautonomous dynamical systems
Ju, Yujun
Yang, Qigui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 500 (02)

← 1 2 3 4 5 →