Stability and Cyclicity of Polycycles in Non-smooth Planar Vector Fields
Carregando...
Fontes externas
Fontes externas
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer Nature
Tipo
Artigo
Direito de acesso
Acesso aberto
Fontes externas
Fontes externas
Resumo
In this paper we extend three results about polycycles (also known as graphs) of planar smooth vector field to planar non-smooth vector fields (also known as piecewise vector fields, or Filippov systems). The polycycles considered here may contain hyperbolic saddles, semi-hyperbolic saddles, saddle-nodes and tangential singularities of any degree. We determine when the polycycle is stable or unstable. We prove the bifurcation of at most one limit cycle in some conditions and at least one limit cycle for each singularity in other conditions.
Descrição
Palavras-chave
Idioma
Inglês
Citação
Qualitative Theory of Dynamical Systems, v. 22, n. 4, 2023.
