On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
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Data
2012-01-01
Autores
Buzzi, Claudio A. [UNESP]
de Carvalho, Tiago [UNESP]
Teixeira, Marco A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Siam Publications
Resumo
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.
Descrição
Palavras-chave
nonsmooth vector field, bifurcation, canard cycle, limit cycle, pseudoequilibrium
Como citar
Siam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 11, n. 4, p. 1402-1424, 2012.