66 citations · 123 across the 5 of their papers we have counts for
5 papers
There exist transitive piecewise smooth vector fields on but not robustly transitive
Rodrigo D Euzébio, Joaby S. Jucá, Régis Varão
It is well known that smooth (or continuous) vector fields cannot be topologically transitive on the sphere . Piecewise-smooth vector fields, on the other hand, may present no…
Invariant manifolds for piecewise smooth differential systems in
Claudio A. Buzzi, Rodrigo D. Euzébio, Ana C. Mereu
In this paper some piecewise smooth perturbations of a three-dimensional differential system are considered. The existence of invariant manifolds filled by periodic orbits is obtai…
Limit sets of discontinuous vector fields on two-dimensional manifolds
Rodrigo D. Euzébio, Joaby S. Jucá
In this paper the asymptotic behavior of trajectories of discontinuous vector fields is studied. The vector fields are defined on a two-dimensional Riemannian manifold and the…
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
Rodrigo D. Euzébio, Jaume Llibre
In this paper we study the maximum number of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More…
On Poincaré-Bendixson Theorem and Non-Trivial Minimal Sets in Planar Nonsmooth Vector Fields
Tiago de Carvalho, Claudio A. Buzzi, Rodrigo D. Euzébio
In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. In the class of nonsmooth systems, that do not present sliding regions, a Poin…