I currently reasearch global properties of piecewise smooth dynamical systems, for instance topological transitivity, entropy, and the orbit space tool.
N. Martins, P. G. Mattos e R. Varão. “Folding and Metric Entropies for Extended Shifts”. Journal of Dynamics and Differential Equations (2026).
R. D. Euzébio, P. G. Mattos e R. Varão. “Characterization of Non-deterministic Chaos in Two-dimensional Non-smooth Vector Fields”. Differential Equations and Dynamical Systems (2025).
O. M. L. Gomide, P. G. Mattos e R. Varão. “The Orbit Space Approach for Piecewise Smooth Vector Fields” (2025 preprint).