Buzzi, C. A. [UNESP]De Carvalho, T. [UNESP]Da Silva, P. R. [UNESP]2014-05-272014-05-272013-04-01Journal of Dynamical and Control Systems, v. 19, n. 2, p. 173-193, 2013.1079-27241573-8698http://hdl.handle.net/11449/74906This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By means of a regularization process we prove that hyperbolic closed poly-trajectories are limit sets of a sequence of limit cycles of smooth vector fields. In our approach the Poincaré Index for non-smooth vector fields is introduced. © 2013 Springer Science+Business Media New York.173-193engclosed poly-trajectoryheteroclinic orbitsLimit cyclesnon-smooth vector fieldsPoincaré indexsingular perturbationvector fieldsHeteroclinic orbitLimit cycleNon-smooth vector fieldsPoincareSingular perturbationsVector fieldsTrajectoriesVectorsArtigo10.1007/s10883-013-9169-4WOS:000317862500002Acesso restrito2-s2.0-84880701318605095586116816166828677607174450000-0002-1430-59860000-0003-2037-8417