Generic bifurcations of planar filippov systems via geometric singular perturbations
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Abstract
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a regularization of a such system and a blow-up we are able to bring out some results that bridge the space between non-smooth dynamical systems presenting typical singularities and singularly perturbed smooth systems.
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Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 18, n. 5 SUPPL., p. 861-881, 2011.
