On piecewise smooth vector fields tangent to nested tori
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Abstract
In this paper we present a number of results involving 3D nonsmooth dynamical systems tangent to a foliation. We study one-parameter families of systems Zε passing through a specific model Z0 whose phase portrait is foliated by invariant nested tori. For each positive integer k we, explicitly, construct a family Zε k possessing exactly k nested tori.
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Bifurcation, Invariant tori, Limit cycles, Nonsmooth vector field
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English
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Journal of Differential Equations, v. 261, n. 7, p. 4008-4029, 2016.
