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Limit cycles of discontinuous piecewise differential Hamiltonian systems separated by a circle, or a parabola, or a hyperbola

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Autor(es):
Casimiro, Joyce A. ; Llibre, Jaume
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: MATHEMATICS AND COMPUTERS IN SIMULATION; v. 225, p. 10-pg., 2024-05-31.
Resumo

Piecewise differential systems in the plane have been extensively studied in the last two decades, due to the vast application of these systems to describe natural phenomena. The knowledge of the existence or not of periodic solutions, in particular, of the limit cycles, is very important for understanding the dynamics of the differential systems. In this article we studied the maximum number of limit cycles of discontinuous piecewise differential systems, formed by two Hamiltonians systems of degree one with three distinct lines of discontinuity either a circle, or a parabola, or a hyperbola. (AU)

Processo FAPESP: 22/01375-7 - Ciclos limites em sistemas diferenciais suaves por partes no plano R2 e no espaço R3
Beneficiário:Joyce Aparecida Casimiro
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
Processo FAPESP: 18/25575-0 - Equações diferenciais suaves por partes em dimensão 3
Beneficiário:Joyce Aparecida Casimiro
Modalidade de apoio: Bolsas no Brasil - Doutorado