11 citations · 24 across the 17 of their papers we have counts for
17 papers
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…
The complete dynamics description of positively curved metrics in the Wallach flag manifold
Leonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins +1
The family of invariant Riemannian manifolds in the Wallach flag manifold is described by three parameters of positive real numbers. By rest…
On the dynamics of positively curved metrics on under the homogeneous Ricci flow
Leonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins
In this note, we show that the classical Wallach manifold -admits metrics of positive intermediate Ricci curvature for $d = 1, 2,…
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…
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…
Limit cycles for classes of piecewise smooth differential equations separated by the unit circle
Mayara Duarte de Araujo Caldas, Ricardo Miranda Martins
In this article we study the existence of limit cycles in families of piecewise smooth differential equations having the unit circle as discontinuity region. We consider families p…