Degenerate hope bifurcations in Chua's system

Detalhes bibliográficos
Autor(a) principal: Messias, Marcelo [UNESP]
Data de Publicação: 2009
Outros Autores: De Carvalho Braga, Denis, Mello, Luis Fernando
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1142/S0218127409023159
http://hdl.handle.net/11449/70930
Resumo: In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the parameter space for which multiple small periodic solutions bifurcate from the equilibria of the system is obtained. As a consequence, a complete answer for the challenge proposed in [Moiola & Chua, 1999] is provided. © 2009 World Scientific Publishing Company.
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spelling Degenerate hope bifurcations in Chua's systemChaotic attractorChua's equationsDegenerate Hopf bifurcationLimit cycleLyapunov coefficientControl nonlinearitiesHopf bifurcationIn this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the parameter space for which multiple small periodic solutions bifurcate from the equilibria of the system is obtained. As a consequence, a complete answer for the challenge proposed in [Moiola & Chua, 1999] is provided. © 2009 World Scientific Publishing Company.Departamento de Matemática, Estatística e Computaçãeo Faculdade de Ciências e Tecnologia UNESP, Cx. Postal 467, 19060-900 Presidente Prudente, SPInstituto de Sistemas Elétricos e Energia Universidade Federal de Itajubá, Avenida BPS, 1303, Pinheirinho, 37.500-903, Itajubá, MGInstituto de Ciências Exatas Universidade Federal de Itajubá, Avenida BPS, 1303, Pinheirinho, 37.500-903, Itajubá, MGDepartamento de Matemática, Estatística e Computaçãeo Faculdade de Ciências e Tecnologia UNESP, Cx. Postal 467, 19060-900 Presidente Prudente, SPUniversidade Estadual Paulista (Unesp)Universidade Federal de Itajubá (UNIFEI)Messias, Marcelo [UNESP]De Carvalho Braga, DenisMello, Luis Fernando2014-05-27T11:23:52Z2014-05-27T11:23:52Z2009-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject497-515http://dx.doi.org/10.1142/S0218127409023159International Journal of Bifurcation and Chaos, v. 19, n. 2, p. 497-515, 2009.0218-1274http://hdl.handle.net/11449/7093010.1142/S02181274090231592-s2.0-674491411603757225669056317Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Bifurcation and Chaos1.5010,568info:eu-repo/semantics/openAccess2021-10-23T21:41:38Zoai:repositorio.unesp.br:11449/70930Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:38Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Degenerate hope bifurcations in Chua's system
title Degenerate hope bifurcations in Chua's system
spellingShingle Degenerate hope bifurcations in Chua's system
Messias, Marcelo [UNESP]
Chaotic attractor
Chua's equations
Degenerate Hopf bifurcation
Limit cycle
Lyapunov coefficient
Control nonlinearities
Hopf bifurcation
title_short Degenerate hope bifurcations in Chua's system
title_full Degenerate hope bifurcations in Chua's system
title_fullStr Degenerate hope bifurcations in Chua's system
title_full_unstemmed Degenerate hope bifurcations in Chua's system
title_sort Degenerate hope bifurcations in Chua's system
author Messias, Marcelo [UNESP]
author_facet Messias, Marcelo [UNESP]
De Carvalho Braga, Denis
Mello, Luis Fernando
author_role author
author2 De Carvalho Braga, Denis
Mello, Luis Fernando
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal de Itajubá (UNIFEI)
dc.contributor.author.fl_str_mv Messias, Marcelo [UNESP]
De Carvalho Braga, Denis
Mello, Luis Fernando
dc.subject.por.fl_str_mv Chaotic attractor
Chua's equations
Degenerate Hopf bifurcation
Limit cycle
Lyapunov coefficient
Control nonlinearities
Hopf bifurcation
topic Chaotic attractor
Chua's equations
Degenerate Hopf bifurcation
Limit cycle
Lyapunov coefficient
Control nonlinearities
Hopf bifurcation
description In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the parameter space for which multiple small periodic solutions bifurcate from the equilibria of the system is obtained. As a consequence, a complete answer for the challenge proposed in [Moiola & Chua, 1999] is provided. © 2009 World Scientific Publishing Company.
publishDate 2009
dc.date.none.fl_str_mv 2009-02-01
2014-05-27T11:23:52Z
2014-05-27T11:23:52Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1142/S0218127409023159
International Journal of Bifurcation and Chaos, v. 19, n. 2, p. 497-515, 2009.
0218-1274
http://hdl.handle.net/11449/70930
10.1142/S0218127409023159
2-s2.0-67449141160
3757225669056317
url http://dx.doi.org/10.1142/S0218127409023159
http://hdl.handle.net/11449/70930
identifier_str_mv International Journal of Bifurcation and Chaos, v. 19, n. 2, p. 497-515, 2009.
0218-1274
10.1142/S0218127409023159
2-s2.0-67449141160
3757225669056317
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Bifurcation and Chaos
1.501
0,568
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 497-515
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965639731838976

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