Limit Cycles of Continuous Piecewise Smooth Differential Systems

Autor(es)

Casimiro, Joyce A. ; Llibre, Jaume

• Tipo de documento: Artigo Científico
• Fonte: Results in Mathematics; v. 78, n. 5, p. 14-pg., 2023-10-01.

Resumo

From the beginning of this century many articles have been published on the continuous and discontinuous piecewise differential systems specially in the plane. The big interest on these piecewise differential systems mainly comes from their increasing number of applications for modelling many natural phenomena. As it is usual in the planar differential systems one of the main difficulties for understanding their dynamics consists in controlling their limit cycles. The major part of papers studying continuous piecewise differential systems has an straight line as the line of separation between the differential systems forming the continuous piecewise differential systems. In this work we consider continuous piecewise differential systems separated by a circle and formed by one linear differential center and one quadratic differential center. We study the maximum number of limit cycles that such kind of continuos piecewise differential system can exhibit. (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