arXiv subjects

Durval Jose Tonon

Publications and source records attributed to Durval Jose Tonon.

2 recordsLinked to original sources

arXiv2011

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

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.

math.DS↗

arXiv2011

Two-fold symmetric singularity

We explore some qualitative dynamics in the neighborhood of the $3-dimensional$ two-fold symmetric singularity. We study the existence of an one-parameter family of regular (pseudo) periodic orbits of such systems near a reversible two-fold singularity.

math.DS↗