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

Buzzi, Claudio A. [UNESP]de Carvalho, Tiago [UNESP]Teixeira, Marco A.2014-05-202014-05-202012-01-01Siam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 11, n. 4, p. 1402-1424, 2012.1536-0040http://hdl.handle.net/11449/8615This 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.1402-1424engnonsmooth vector fieldbifurcationcanard cyclelimit cyclepseudoequilibriumOn 3-Parameter Families of Piecewise Smooth Vector Fields in the PlaneArtigo10.1137/100817309WOS:000312701800009Acesso restritoWOS000312701800009.pdf66828677607174450000-0003-2037-8417