Evolution of chaos in the Matsumoto-Chua circuit: a symbolic dynamics approach
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | |
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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Brazilian Journal of Physics |
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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 |
_version_ |
1754734861886685184 |