Construction of heteroclinic networks in R-4

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

Autores

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

Revista

Título: Nonlinearity

Vol. 29 Nº 12

Páginas: 3677-3695

ISSN: 0951-7715

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00M-77K

DOI: 10.1088/0951-7715/29/12/3677

Abstract (EN): We study heteroclinic networks in R-4, made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-dimensional fixed-point spaces. We show that there exist only very few ways to join such cycles together in a network and provide the list of all possible such networks in R-4. The networks involving simple heteroclinic cycles of type A are new in the literature and we describe the stability of the cycles in these networks: while the geometry of type A and type B networks is very similar, stability distinguishes them clearly.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19