15 citations · 40 across the 7 of their papers we have counts for
9 papers
Bifurcation Analysis of 3D Filippov Systems around Cusp-Fold Singularities
Oscar A. R. Cespedes, Rony Cristiano, Otávio M. L. Gomide
This paper investigates the local behavior of 3D Filippov systems , focusing on the dynamics around cusp-fold singularities. These singular points, characterized by cubic…
The Orbit Space Approach for Piecewise Smooth Vector Fields
Otávio M. L. Gomide, Pedro G. Mattos, Régis Varão
In this work we develop a well-defined theory of orbit spaces for piecewise smooth vector fields (PSVFs). This approach is inspired by the techniques already used in the study of e…
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara +1
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for ce…
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…
Bifurcation Diagrams of Global Connections in Filippov Systems
Kamila S. Andrade, Otávio M. L. Gomide, Douglas D. Novaes
In this paper, we are concerned about the qualitative behavior of planar Filippov systems around some typical invariant sets, namely, polycycles. In the smooth context, a polycycle…