Ciclos limite em sistemas lineares suaves por parte
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2018-03-07
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Universidade Federal de Goiás
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In this work we will study limit cycles in piecewise smooth linear systems. We begin
studying the case where the separation curve is a polygonal and we give an example of a
system having seven limit cycles. The existence of an arbitrary number of limit cycles is
also proved for these systems, as well as an example of a system with 10 limit cycles. The
existence of n limit cycles, n 2 N, is also studied through a perturbation in the separation
curve. Finally, we study limit cycles in planar piecewise linear systems presenting a twofold
singularity in R2, as well as limit cycles sorrounding a T-singularity.
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SILVA, Ana Maria Alves da. Ciclos limite em sistemas lineares suaves por parte. 2018. 116 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.