Ciclos limite em sistemas lineares suaves por parte

• Autor(a) principal: Silva, Ana Maria Alves da
• Data de Publicação: 2018
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/8235
• topic: Ciclos limite; T-singularidade; Sistemas lineares suaves por partes; Piecewise smooth linear systems; Limit cycles; T- singularity; GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS

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.