3 papers
math.DS2025
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…
math.DS2025
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…
math.AP2025
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…