Evolution towards the steady state in a hopf bifurcation: A scaling investigation

Registro completo de metadados
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorda Silva, Vinícius B.-
Autor(es): dc.creatorLeonel, Edson D.-
Data de aceite: dc.date.accessioned2021-03-11T00:35:27Z-
Data de disponibilização: dc.date.available2021-03-11T00:35:27Z-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2018-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.5890/DNC.2018.03.006-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/170884-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/170884-
Descrição: dc.descriptionSome scaling properties describing the convergence for the steady state in a Hopf bifurcation are discussed. Two different procedures are considered in the investigation: (i) a phenomenological description obtained from time series coming from the numerical integration of the system, leading to a set of critical exponents and hence to scaling laws; (ii) a direct solution of the differential equations, which is possible only in the normal form. At the bifurcation, the convergence to the stationary state obeys a generalized and homogeneous function. For short time, the dynamics giving by the distance from the fixed point is mostly constant when a critical time is reached hence changing the dynamics to a convergence for the steady state given by a power law. Both the size of the constant plateau and the characteristic crossover time depend on the initial distance from the fixed point. Near the bifurcation, the convergence is described by an exponential decay with a relaxation time given by a power law.-
Formato: dc.format67-79-
Idioma: dc.languageen-
Relação: dc.relationDiscontinuity, Nonlinearity, and Complexity-
Relação: dc.relation0,208-
Relação: dc.relation0,208-
Direitos: dc.rightsclosedAccess-
Palavras-chave: dc.subjectCritical exponents-
Palavras-chave: dc.subjectHopf bifurcation-
Palavras-chave: dc.subjectNormal forms-
Palavras-chave: dc.subjectScaling properties-
Título: dc.titleEvolution towards the steady state in a hopf bifurcation: A scaling investigation-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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