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Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve

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Autor(es):
Jimenez, Jeidy J. ; Llibre, Jaume ; Medrado, Joao C.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Electronic Journal of Qualitative Theory of Differential Equations; v. N/A, n. 19, p. 48-pg., 2020-01-01.
Resumo

As for the general planar differential systems one of the main problems for the piecewise linear differential systems is to determine the existence and the maximum number of crossing limits cycles that these systems can exhibit. But in general to provide a sharp upper bound on the number of crossing limit cycles is a very difficult problem. In this work we study the existence of crossing limit cycles and their distribution for piecewise linear differential systems formed by linear differential centers and separated by a reducible cubic curve, formed either by a circle and a straight line, or by a parabola and a straight line. (AU)

Processo FAPESP: 17/03352-6 - Ciclos limites em alguns sistemas diferenciais suaves por partes
Beneficiário:Claudio Aguinaldo Buzzi
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
Processo FAPESP: 13/24541-0 - Teorias ergódica e qualitativa dos sistemas dinâmicos
Beneficiário:Claudio Aguinaldo Buzzi
Modalidade de apoio: Auxílio à Pesquisa - Temático