Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
Carregando...
Arquivos
Fontes externas
Fontes externas
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Arquivos
Fontes externas
Fontes externas
Resumo
Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov systems around visible regular-tangential singularities of even multiplicity. More specifically, using Fenichel theory and blow-up methods, we aim to understand how the trajectories of the regularized system transits through the region of regularization. We apply our results to investigate C n -regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.
Descrição
Palavras-chave
blow-up method, boundary limit cycles, Fenichel theory, nonsmooth differential systems, regularization, tangential singularities
Idioma
Inglês
Citação
Nonlinearity, v. 34, n. 6, p. 4202-4263, 2021.
