2 citations · 2 across the 1 of their papers we have counts for
4 papers
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…
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…
Critical velocity in kink-defect interaction models: rigorous results
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara
In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived…
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…