Generation of quasiperiodic oscillations in pairs of coupled maps

Detalhes bibliográficos
Autor(a) principal: Rech P.C.*
Data de Publicação: 2007
Outros Autores: Beims M.W., Gallas J.A.C.*
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
dARK ID: ark:/33523/00130000021mt
Texto Completo: https://repositorio.udesc.br/handle/UDESC/10291
Resumo: We investigate analytically the emergence of quasiperiodic and mode-locked states of arbitrary period in pairs of coupled maps. Quasiperiodic and mode-locked states arise from Naimark-Sacker bifurcations and exhibit very rich local dynamics. We determine analytically both states for pairs of maps under symmetric and asymmetric couplings. Lyapunov spectra, portraits in parameter-space and in phase-space are used to show the transition from quasiperiodic and from mode-locked states into chaotic states and to check the range of validity of the approximations implicit in the standard normal forms. © 2006 Elsevier Ltd. All rights reserved.
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spelling Generation of quasiperiodic oscillations in pairs of coupled mapsWe investigate analytically the emergence of quasiperiodic and mode-locked states of arbitrary period in pairs of coupled maps. Quasiperiodic and mode-locked states arise from Naimark-Sacker bifurcations and exhibit very rich local dynamics. We determine analytically both states for pairs of maps under symmetric and asymmetric couplings. Lyapunov spectra, portraits in parameter-space and in phase-space are used to show the transition from quasiperiodic and from mode-locked states into chaotic states and to check the range of validity of the approximations implicit in the standard normal forms. © 2006 Elsevier Ltd. All rights reserved.2024-12-06T19:27:14Z2007info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 1394 - 14100960-077910.1016/j.chaos.2006.01.091https://repositorio.udesc.br/handle/UDESC/10291ark:/33523/00130000021mtChaos, Solitons and Fractals334Rech P.C.*Beims M.W.Gallas J.A.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:07:59Zoai:repositorio.udesc.br:UDESC/10291Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:07:59Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Generation of quasiperiodic oscillations in pairs of coupled maps
title Generation of quasiperiodic oscillations in pairs of coupled maps
spellingShingle Generation of quasiperiodic oscillations in pairs of coupled maps
Rech P.C.*
title_short Generation of quasiperiodic oscillations in pairs of coupled maps
title_full Generation of quasiperiodic oscillations in pairs of coupled maps
title_fullStr Generation of quasiperiodic oscillations in pairs of coupled maps
title_full_unstemmed Generation of quasiperiodic oscillations in pairs of coupled maps
title_sort Generation of quasiperiodic oscillations in pairs of coupled maps
author Rech P.C.*
author_facet Rech P.C.*
Beims M.W.
Gallas J.A.C.*
author_role author
author2 Beims M.W.
Gallas J.A.C.*
author2_role author
author
dc.contributor.author.fl_str_mv Rech P.C.*
Beims M.W.
Gallas J.A.C.*
description We investigate analytically the emergence of quasiperiodic and mode-locked states of arbitrary period in pairs of coupled maps. Quasiperiodic and mode-locked states arise from Naimark-Sacker bifurcations and exhibit very rich local dynamics. We determine analytically both states for pairs of maps under symmetric and asymmetric couplings. Lyapunov spectra, portraits in parameter-space and in phase-space are used to show the transition from quasiperiodic and from mode-locked states into chaotic states and to check the range of validity of the approximations implicit in the standard normal forms. © 2006 Elsevier Ltd. All rights reserved.
publishDate 2007
dc.date.none.fl_str_mv 2007
2024-12-06T19:27:14Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0960-0779
10.1016/j.chaos.2006.01.091
https://repositorio.udesc.br/handle/UDESC/10291
dc.identifier.dark.fl_str_mv ark:/33523/00130000021mt
identifier_str_mv 0960-0779
10.1016/j.chaos.2006.01.091
ark:/33523/00130000021mt
url https://repositorio.udesc.br/handle/UDESC/10291
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos, Solitons and Fractals
33
4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 1394 - 1410
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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