Resumen de Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields

Claudio A. Buzzi, Rodrigo D. Euzébio, Ana Cristina Mereu

• The main goal of this paper is to study the existence of two dimensional piecewise smooth invariant manifolds under small piecewise smooth perturbations from 3D center-type vector fields. The obtained piecewise smooth manifolds, filled up by periodic orbits, are rotations of some planar algebraic curves.