Asymptotic stability and bifurcations of 3D piecewise smooth vector fields

The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the paramet...

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Detalles Bibliográficos
Autores: Carvalho, Tiago [UNESP], Teixeira, Marco Antônio, Tonon, Durval José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/168549
Acceso en línea:http://dx.doi.org/10.1007/s00033-015-0603-1
http://hdl.handle.net/11449/168549
Access Level:acceso abierto
Palabra clave:Asymptotic stability
Cusp-fold singularity
Piecewise smooth vector fields
Descripción
Sumario:The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value (Formula presented.).