124 citations · 257 across the 19 of their papers we have counts for
23 papers · 1 filter
Generic one-parameter families of 3-dimensional Filippov Systems
R. D. Euzébio, M. A. Teixeira, D. J. Tonon
This paper addresses openness, density and structural stability conditions of one-parameter families of 3D piecewise smooth vector fields (PSVFs) defined around typical singulariti…
Chains in Filippov Systems: A Chaotic Phenomenon
Otávio M. L. Gomide, Marco A. Teixeira
This work is devoted to the study of global connections between typical generic singularities, named -singularities, in piecewise smooth dynamical systems. Such a singularity pr…
Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a two-fold cycle
Douglas D. Novaes, Tere M. Seara, Marco A. Teixeira +1
We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential s…
On Typical Homoclinic-Like Loops in 3D Filippov Systems
Otávio M. L. Gomide, Marco A. Teixeira
In this work a homoclinic-like loop of a piecewise smooth vector field passing through a typical singularity is analyzed. We have shown that such a loop is robust in one-parameter…
On Structural Stability of 3D Filippov Systems: A Semi-Local Approach
Otávio M. L. Gomide, Marco A. Teixeira
The main purpose of this work is to provide a non-local approach to study aspects of structural stability of 3D Filippov systems. We introduce a notion of semi-local structural sta…
The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
Douglas Duarte Novaes, Marco Antonio Teixeira, Iris de Oliveira Zeli
Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for -parameter families of planar vector fields. In the present s…