A heteroclinic network in mode interaction with symmetry

• Tipo: Artigo em Revista Científica Internacional
• Data: 2010

Autores

Sofia B. S. D. Castro (Autor) FEP; Labouriau, IS (Autor) FCUP; Olga Podvigina (Autor) Outra

Revista

Título: Dynamical Systems

Vol. 25 Nº 3

Páginas: 359-396

ISSN: 1468-9367

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 11 Citações

ISI Web of Science

Scopus - 9 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-AKV

DOI: 10.1080/14689367.2010.506183

Abstract (EN): We study a robust heteroclinic network existing in generic mode interactions of symmetric dynamical systems. Each mode lies in C(3) and is equivariant under the action of D(6) x T(2) x Z(2). With this symmetry there are eight different types of non-trivial steady states. This work is motivated by Boussinesq convection on a plane layer with periodic boundary conditions on a hexagonal lattice. The mode interaction takes place in a centre eigenspace isomorphic to C(6) when the trivial steady state becomes unstable to two modes of the form of rolls with spatial periods in the 2 : root 3 ratio. Due to relations between the normal form coefficients, only four types of steady states can be involved in the network. We examine the normal form restricted to R(6), a flow-invariant subspace, then we describe the dynamics near the network and discuss subnetworks and switching near them.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 38