Topological entropy of induced circle maps on hyperspaces

被引：0

作者：

Ju, Hyonhui ^{[1
]}

Kim, Cholsan ^{[1
]}

Ri, Songhun ^{[1
]}

机构：

[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea

来源：

TOPOLOGY AND ITS APPLICATIONS | 2023年 / 328卷

关键词：

Circle map; -Limit set; Topological entropy; Hyperspace; Set-valued extension; TRANSITIVITY; DYNAMICS; CHAOS;

D O I：

10.1016/j.topol.2023.108460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show on some aspects of the structures of omega-limit sets set-valued extensions of continuous circle maps. Next, we prove that topological entropies of every circle map and its set-valued extension agree.(c) 2023 Elsevier B.V. All rights reserved.

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页数：10

相关论文

共 14 条

[1] The transitivity of induced maps [J].

Acosta, Gerardo ;

Illanes, Alejandro ;

Mendez-Lango, Hector .

TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (05) :1013-1033

[2] Chaos for induced hyperspace maps [J].

Banks, J .

CHAOS SOLITONS & FRACTALS, 2005, 25 (03) :681-685

[3]

BLOCK LS, 1992, LECT NOTES MATH, V1513, pUR3

[4] On the topological entropy on the space of fuzzy numbers [J].

Canovas, Jose S. ;

Kupka, Jiri .

FUZZY SETS AND SYSTEMS, 2014, 257 :132-145

[5] Dynamics and topological entropy for Zadeh's extension of a compact system [J].

Kim, Cholsan ;

Chen, Minghao ;

Ju, Hyonhui .

FUZZY SETS AND SYSTEMS, 2017, 319 :93-103

[6] On fuzzifications of discrete dynamical systems [J].

Kupka, Jiri .

INFORMATION SCIENCES, 2011, 181 (13) :2858-2872

[7] Topological entropy and chaos for maps induced on hyperspaces [J].

Kwietniak, Dominik ;

Oprocha, Piotr .

CHAOS SOLITONS & FRACTALS, 2007, 33 (01) :76-86

[8] Topological entropy for set valued maps [J].

Lampart, Marek ;

Raith, Peter .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) :1533-1537

[9] Sensitivity of set-valued discrete systems [J].

Liu, Heng ;

Shi, Enhui ;

Liao, Gongfu .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :6122-6125

[10] The structure of graph maps without periodic points [J].

Mai, Jie-Hua ;

Shao, Song .

TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (14) :2714-2728