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.
Citation
Durval José Tonon. Tiago de Carvalho. "Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations." Bull. Belg. Math. Soc. Simon Stevin 18 (5) 861 - 881, december 2011. https://doi.org/10.36045/bbms/1323787173
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