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Ciclos limite em sistemas lineares suaves por parte

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Opis bibliograficzny
1. autor: Silva, Ana Maria Alves da
Data wydania: 2018
Format: Master thesis
Język: por
Źródło: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/8235
Streszczenie: 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.