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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…