A New Two-Dimensional Map with Hidden Attractors

The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic...

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Detalles Bibliográficos
Autores principales: Wang, Chuanfu, Ding, Qun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7845775/
https://www.ncbi.nlm.nih.gov/pubmed/33265412
http://dx.doi.org/10.3390/e20050322
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author Wang, Chuanfu
Ding, Qun
author_facet Wang, Chuanfu
Ding, Qun
author_sort Wang, Chuanfu
collection PubMed
description The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic attractors are those excited from unstable fixed points. In this paper, the hidden dynamics of a new two-dimensional map inspired by Arnold’s cat map is investigated, and the existence of fixed points and their stabilities are studied in detail.
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spelling pubmed-78457752021-02-24 A New Two-Dimensional Map with Hidden Attractors Wang, Chuanfu Ding, Qun Entropy (Basel) Article The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic attractors are those excited from unstable fixed points. In this paper, the hidden dynamics of a new two-dimensional map inspired by Arnold’s cat map is investigated, and the existence of fixed points and their stabilities are studied in detail. MDPI 2018-04-27 /pmc/articles/PMC7845775/ /pubmed/33265412 http://dx.doi.org/10.3390/e20050322 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Wang, Chuanfu
Ding, Qun
A New Two-Dimensional Map with Hidden Attractors
title A New Two-Dimensional Map with Hidden Attractors
title_full A New Two-Dimensional Map with Hidden Attractors
title_fullStr A New Two-Dimensional Map with Hidden Attractors
title_full_unstemmed A New Two-Dimensional Map with Hidden Attractors
title_short A New Two-Dimensional Map with Hidden Attractors
title_sort new two-dimensional map with hidden attractors
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7845775/
https://www.ncbi.nlm.nih.gov/pubmed/33265412
http://dx.doi.org/10.3390/e20050322
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