Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers

Autor(es)

Carvalho, Tiago ^[1] ; Goncalves, Luiz Fernando ^[2] ; Llibre, Jaume ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, Av Bandeirantes, 3900, BR-14040901 Ribeirao Preto, SP - Brazil

^[2] Univ Fed Goias, Inst Matemat & Estat, Campus Samambaia, BR-74690900 Goiania, Go - Brazil

^[3] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, Barcelona 08193 - Spain

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 31, n. 15 DEC 15 2021.
• Citações Web of Science: 0

Resumo

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit. (AU)

• Processo FAPESP: 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático