Switching in Heteroclinic Networks

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Castro, SBSD (Autor) FEP; Lohse, A (Autor) Outra

Revista

Título: SIAM Journal on Applied Dynamical Systems

Vol. 15 Nº 2

Páginas: 1085-1103

ISSN: 1536-0040

Editora: Society for Industrial and Applied Mathematics

Indexação

ISI Web of Knowledge - 12 Citações

Scopus - 11 Citações

Outras Informações

ID Authenticus: P-00K-M2G

DOI: 10.1137/15m1042176

Abstract (EN): We study the dynamics near heteroclinic networks for which all eigenvalues of the linearization at the equilibria are real. A common connection and an assumption on the geometry of its incoming and outgoing directions exclude even the weakest forms of switching (i.e., along this connection). The form of the global transition maps, and thus the type of the heteroclinic cycle, plays a crucial role in this. We look at two examples in R-5, the House and Bowtie networks, to illustrate complex dynamics that may occur when either of these conditions is broken. For the House network, there is switching along the common connection, while for the Bowtie network we find switching along a cycle.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19