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.DS2025
Limit cycles of piecewise smooth vector fields on torus with non-regular switching manifold
Thaylon Souza de Oliveira, Ricardo Miranda Martins
We study the maximum number of crossing limit cycles in piecewise-smooth vector fields on the two-dimensional torus, where the discontinuity set is the boundary of the fundamental…