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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
Folding and Metric Entropies for Extended Shifts
Neemias Martins, Pedro G. Mattos, Régis Varão
In this paper we calculate the metric and folding entropies for a family of non-invertible symbolic dynamical systems which generalizes the standard bilater…
math.DS2024
Characterization of Non-Deterministic Chaos in Two-Dimensional Non-Smooth Vector Fields
Rodrigo D. Euzébio, Pedro G. Mattos, Régis Varão
Our context is Filippov systems defined on two-dimensional manifolds having a finite number of tangency points. We prove that topological transitivity is a necessary and sufficient…