2 papers
math.DS2020
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…
math.DS2020
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…