Bifurcations of Non Smooth Vector Fields on $\R^2$ by Geometric Singular Perturbations

Details Bifurcations of Non Smooth Vector Fields on $\R^2$ by Geometric Singular Perturbations Bifurcations of Non Smooth Vector Fields on $\R^2$ by Geometric Singular Perturbations

2011-11-21

arxiv.org/abs/1111.4990v2

Mathematics

Dynamical Systems

20 pages, 11 figures

Scientific paper

Our object of study is non smooth vector fields on $\R^2$. We apply the
techniques of geometric singular perturbations in non smooth vector fields
after regularization and a blow$-$up. In this way 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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