11 citations · 24 across the 17 of their papers we have counts for
Showing 2023 · math.DSShow all
2 papers · 2 filters
math.DS2023★ 1 cited
Sharp estimates for the number of limit cycles in discontinuous generalized Liénard equations
Tiago M. P. de Abreu, Ricardo Miranda Martins
In this paper, we study the maximum number of limit cycles for the piecewise smooth system of differential equations $\dot{x}=y, \ \dot{y}=-x-\varepsilon \cdot (f(x)\cdot y +{\rm s…
math.DS2023★ 2 cited
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 imp…