Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system

The coexistence of stable limit cycles and chaotic attractors has already been observed in some 3D dynamical systems. In this paper we show, using the T-system, that unstable limit cycles and chaotic attractors can also coexist. Moreover, by completing the characterization of the existence of invari...

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Detalles Bibliográficos
Autores principales: Constantinescu, Dana, Tigan, Gheorghe, Zhang, Xiang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: F1000 Research Limited 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10446012/
https://www.ncbi.nlm.nih.gov/pubmed/37645123
http://dx.doi.org/10.12688/openreseurope.13590.1
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author Constantinescu, Dana
Tigan, Gheorghe
Zhang, Xiang
author_facet Constantinescu, Dana
Tigan, Gheorghe
Zhang, Xiang
author_sort Constantinescu, Dana
collection PubMed
description The coexistence of stable limit cycles and chaotic attractors has already been observed in some 3D dynamical systems. In this paper we show, using the T-system, that unstable limit cycles and chaotic attractors can also coexist. Moreover, by completing the characterization of the existence of invariant algebraic surfaces and their associated global dynamics, we give a better understanding on the disappearance of the strange attractor and the limit cycles of the studied system.
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spelling pubmed-104460122023-08-29 Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system Constantinescu, Dana Tigan, Gheorghe Zhang, Xiang Open Res Eur Research Article The coexistence of stable limit cycles and chaotic attractors has already been observed in some 3D dynamical systems. In this paper we show, using the T-system, that unstable limit cycles and chaotic attractors can also coexist. Moreover, by completing the characterization of the existence of invariant algebraic surfaces and their associated global dynamics, we give a better understanding on the disappearance of the strange attractor and the limit cycles of the studied system. F1000 Research Limited 2021-05-17 /pmc/articles/PMC10446012/ /pubmed/37645123 http://dx.doi.org/10.12688/openreseurope.13590.1 Text en Copyright: © 2021 Constantinescu D et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Constantinescu, Dana
Tigan, Gheorghe
Zhang, Xiang
Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title_full Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title_fullStr Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title_full_unstemmed Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title_short Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system
title_sort coexistence of chaotic attractor and unstable limit cycles in a 3d dynamical system
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10446012/
https://www.ncbi.nlm.nih.gov/pubmed/37645123
http://dx.doi.org/10.12688/openreseurope.13590.1
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