Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach

Detalhes bibliográficos
Autor(a) principal: Maranhão,Dariel M.
Data de Publicação: 2005
Outros Autores: Prado,Carmen P. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000100013
Resumo: We use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. We consider the evolution of the whole population of unstable periodic orbits and of the associated trajectories, in four chaotic attractors generated by the circuit. Symbolic planes and first return maps are built for different values of the control parameter. The bifurcation mechanism suggests the possibility of the existence of a homoclinic orbit.
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spelling Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approachWe use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. We consider the evolution of the whole population of unstable periodic orbits and of the associated trajectories, in four chaotic attractors generated by the circuit. Symbolic planes and first return maps are built for different values of the control parameter. The bifurcation mechanism suggests the possibility of the existence of a homoclinic orbit.Sociedade Brasileira de Física2005-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000100013Brazilian Journal of Physics v.35 n.1 2005reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332005000100013info:eu-repo/semantics/openAccessMaranhão,Dariel M.Prado,Carmen P. C.eng2005-05-03T00:00:00Zoai:scielo:S0103-97332005000100013Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2005-05-03T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
title Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
spellingShingle Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
Maranhão,Dariel M.
title_short Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
title_full Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
title_fullStr Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
title_full_unstemmed Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
title_sort Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
author Maranhão,Dariel M.
author_facet Maranhão,Dariel M.
Prado,Carmen P. C.
author_role author
author2 Prado,Carmen P. C.
author2_role author
dc.contributor.author.fl_str_mv Maranhão,Dariel M.
Prado,Carmen P. C.
description We use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. We consider the evolution of the whole population of unstable periodic orbits and of the associated trajectories, in four chaotic attractors generated by the circuit. Symbolic planes and first return maps are built for different values of the control parameter. The bifurcation mechanism suggests the possibility of the existence of a homoclinic orbit.
publishDate 2005
dc.date.none.fl_str_mv 2005-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000100013
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000100013
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332005000100013
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.35 n.1 2005
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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