de Carvalho, Tiago [UNESP]2018-12-112018-12-112016-12-01Journal des Mathematiques Pures et Appliquees, v. 106, n. 6, p. 1174-1185, 2016.0021-7824http://hdl.handle.net/11449/169073A large number of papers deal with “Closing Lemmas” for Cr-vector fields (and Cr-diffeomorphisms). Here, we introduce this subject and formalize the terminology about nontrivially recurrent points and nonwandering points for the context of planar piecewise smooth vector fields. A global bifurcation analysis of a special family of piecewise smooth vector fields presenting a nonwandering set with nontrivial recurrence is performed. As a consequence, we are able to say that the Classical and the Improved Closing Lemmas are false for this scenario.1174-1185engClosing LemmaNonsmooth vector fieldNonwandering pointsRecurrent pointsArtigo10.1016/j.matpur.2016.04.006Acesso aberto2-s2.0-849927153292-s2.0-84992715329.pdf