2 papers
math.DS2024
Poincaré-Hopf Theorem for Filippov vector fields on 2-dimensional compact manifolds
Joyce A. Casimiro, Ricardo M. Martins, Douglas D. Novaes
The Poincaré-Hopf Theorem relates the Euler characteristic of a 2-dimensional compact manifold to the local behavior of smooth vector fields defined on it. However, despite the im…
math.DS2024
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…