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

Artigo

Fecha

2012-01-01

Registro en:

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

6682867760717445

0000-0003-2037-8417

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3885187

Autor

Universidade Estadual Paulista (Unesp)

Universidade Estadual de Campinas (UNICAMP)

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

nonsmooth vector field

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