Bi-center problem for some classes of Z(2)-equivariant systems

Autor(es)

Romanovski, Valery G. ; Fernandes, Wilker ; Oliveira, Regilene

• Tipo de documento: Artigo Científico
• Fonte: Journal of Computational and Applied Mathematics; v. 320, p. 61-75, AUG 15 2017.
• Citações Web of Science: 5

Resumo

We investigate the simultaneous existence of two centers and their isochronicity for two families of planar Z(2)-equivariant differential systems. First, for a family studied by Liu and Li (2011) we present the necessary and sufficient conditions for the existence of an isochronous bi-center. Next, we give conditions for the existence of a bi-center and study its isochronicity for a planar Z(2)-equivariant quintic system having two weak foci or centers. We also give two examples of non-Hamiltonian cubic systems with three isochronous centers. (c) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 14/00304-2 - Singularidades de aplicações diferenciáveis: teoria e aplicações
• Beneficiário: Maria Aparecida Soares Ruas
• Linha de fomento: Auxílio à Pesquisa - Temático