On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane


Autoria(s): Buzzi, Claudio A.; de Carvalho, Tiago; Teixeira, Marco A.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/01/2012

Resumo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Processo FAPESP: 07/06896-5

Processo FAPESP: 07/08707-5

Processo FAPESP: 10/18190-2

Processo FAPESP: 12/00481-6

This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the bifurcation diagrams are exhibited. Our main results describe a particular unfolding of the so-called fold-cusp singularity by means of the variation of 3 parameters.

Formato

1402-1424

Identificador

http://dx.doi.org/10.1137/100817309

Siam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 11, n. 4, p. 1402-1424, 2012.

1536-0040

http://hdl.handle.net/11449/8615

10.1137/100817309

WOS:000312701800009

WOS000312701800009.pdf

Idioma(s)

eng

Publicador

Siam Publications

Relação

Siam Journal on Applied Dynamical Systems

Direitos

closedAccess

Palavras-Chave #nonsmooth vector field #bifurcation #canard cycle #limit cycle #pseudoequilibrium
Tipo

info:eu-repo/semantics/article