Publicação: On the Closing Lemma for planar piecewise smooth vector fields
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A 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.
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Closing Lemma, Nonsmooth vector field, Nonwandering points, Recurrent points
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Inglês
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Journal des Mathematiques Pures et Appliquees, v. 106, n. 6, p. 1174-1185, 2016.
