Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

Detalhes bibliográficos
Autor(a) principal: Pinto, Carla M.A.
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/5304
Resumo: We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.
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spelling Exciting dynamical behavior in a network of two coupled rings of Chen oscillatorsChaosQuasiperiodic statesSymmetryHopf bifurcationPeriod-doubling bifurcationHalving-period bifurcationWe study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.SpringerRepositório Científico do Instituto Politécnico do PortoPinto, Carla M.A.2015-01-06T14:21:55Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/5304eng0924-090X10.1007/s11071-014-1512-0info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:45:24Zoai:recipp.ipp.pt:10400.22/5304Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:26:01.012848Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
title Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
spellingShingle Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
Pinto, Carla M.A.
Chaos
Quasiperiodic states
Symmetry
Hopf bifurcation
Period-doubling bifurcation
Halving-period bifurcation
title_short Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
title_full Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
title_fullStr Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
title_full_unstemmed Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
title_sort Exciting dynamical behavior in a network of two coupled rings of Chen oscillators
author Pinto, Carla M.A.
author_facet Pinto, Carla M.A.
author_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Pinto, Carla M.A.
dc.subject.por.fl_str_mv Chaos
Quasiperiodic states
Symmetry
Hopf bifurcation
Period-doubling bifurcation
Halving-period bifurcation
topic Chaos
Quasiperiodic states
Symmetry
Hopf bifurcation
Period-doubling bifurcation
Halving-period bifurcation
description We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-01-06T14:21:55Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/5304
url http://hdl.handle.net/10400.22/5304
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0924-090X
10.1007/s11071-014-1512-0
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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