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

Tiago de Carvalho; Durval Jose Tonon

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arXiv · 1111.4990

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

Tiago de Carvalho·Durval Jose Tonon

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Abstract

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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BibTeX RIS

Tiago de Carvalho, Durval Jose Tonon. 2011-11-21. Bifurcations of Non Smooth Vector Fields on $\R^2$ by Geometric Singular Perturbations. https://arxiv.org/abs/1111.4990

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