Finite switching near heteroclinic networks

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Castro, SBSD (Autor) FEP; Garrido da Silva, L (Autor) FEUP

Revista

Título: Nonlinearity

Vol. 36

Páginas: 6239-6259

ISSN: 0951-7715

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00Z-914

DOI: 10.1088/1361-6544/ad03cf

Abstract (EN): <jats:title>Abstract</jats:title> <jats:p>We address the level of complexity that can be observed in the dynamics near a robust heteroclinic network. We show that infinite switching, which is a path towards chaos, does not exist near a heteroclinic network such that the eigenvalues of the Jacobian matrix at each node are all real. Furthermore, for a path starting at a node that belongs to more than one heteroclinic cycle, we find a bound for the number of such nodes that can exist in any such path. This constricted dynamics is in stark contrast with examples in the literature of heteroclinic networks such that the eigenvalues of the Jacobian matrix at one node are complex.</jats:p>

Idioma: Inglês

Tipo (Avaliação Docente): Científica