17 citations · 25 across the 6 of their papers we have counts for
6 papers
Sliding mode on tangential sets of Filippov systems
Tiago Carvalho, Douglas D. Novaes, Durval J. Tonon
We consider piecewise smooth vector fields defined in where both vector fields are tangent to the switching manifold along a submanifold $M\subset…
Lower bounds for the number of limit cycles in a generalized Rayleigh-Liénard oscillator
Rodrigo D. Euzébio, Jaume Llibre, Durval J. Tonon
In this paper a generalized Rayleigh-Liénard oscillator is consider and lower bounds for the number of limit cycles bifurcating from weak focus equilibria and saddle connections ar…
Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields
Joao L. Cardoso, Jaume Llibre, Douglas D. Novaes +1
In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line . Our goal is to study the existence of simultaneous cross…
An asymptotically stable cusp-fold singularity in 3D piecewise smooth vector fields
Tiago De Carvalho, Marco A. Teixeira, Durval J. Tonon
This paper is concerned with the analysis of a typical singularity of piecewise smooth vector fields on composed by two zones. In our object of study, the cusp-fold singulari…
Bifurcations of Non Smooth Vector Fields on by Geometric Singular Perturbations
Tiago de Carvalho, Durval Jose Tonon
Our object of study is non smooth vector fields on . We apply the techniques of geometric singular perturbations in non smooth vector fields after regularization and a blow$-…
Two-fold symmetric singularity
Alain Jacquemard, Marco Antonio Teixeira, Durval Jose Tonon
We explore some qualitative dynamics in the neighborhood of the two-fold symmetric singularity. We study the existence of an one-parameter family of regular (pseudo…