Publicação: Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Resumo
These last years an increasing interest appeared in studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena. The understanding of the dynamics of these systems has many difficulties. One of them is the study of their limit cycles. In this paper, we study the maximum number of crossing limit cycles of some classes of planar discontinuous piecewise differential systems separated by a straight line and formed by combinations of linear centres (consequently isochronous) and cubic isochronous centres with homogeneous nonlinearities. For these classes of planar discontinuous piecewise differential systems we solved the extension of the 16th Hilbert problem, i.e. we provide an upper bound for their maximum number of crossing limit cycles.
Descrição
Palavras-chave
cubic isochronous centres with homogeneous nonlinearities, discontinuous piecewise differential systems, first integrals, Limit cycles, linear centres
Idioma
Inglês
Como citar
Dynamical Systems, v. 37, n. 4, p. 710-728, 2022.
