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

Buzzi, Claudio A.; de Carvalho, Tiago; Teixeira, Marco A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/8615

Title:

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

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

1536-0040

Sponsorship:

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

Sponsorship Process Number:

FAPESP: 07/06896-5
FAPESP: 07/08707-5
FAPESP: 10/18190-2
FAPESP: 12/00481-6

Abstract:

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.

Issue Date:

1-Jan-2012

Citation:

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

Time Duration:

1402-1424

Publisher:

Siam Publications

Keywords:

nonsmooth vector field
bifurcation
canard cycle
limit cycle
pseudoequilibrium

Source:

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

URI:

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

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/8615

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