2 papers
math.DS2025
A proof that all the sliding trajectories of generic inelastic piecewise linear dynamical systems over the torus are closed
Mayara D. A. Caldas, Ricardo M. Martins
In this article, we consider piecewise smooth differential equations , where and are linear vector fields in dimension 3, having the torus as discontinuity…
math.DS2022
On the existence of closed trajectories and pseudo-trajectories for a family of third order differential equations
Mayara Duarte de Araujo Caldas, Ricardo Miranda Martins
The goal of this article is to study the existence of closed trajectories for the differential equation in two…