Switching near a network of rotating nodes

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

Autores

Manuela A D Aguiar (Autor) FEP; Isabel S Labouriau (Autor) FCUP; Alexandre A P Rodrigues (Autor) Outra

Revista

Título: Dynamical Systems

Vol. 25 Nº 1

Páginas: 75-95

ISSN: 1468-9367

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 26 Citações

ISI Web of Science

Scopus - 25 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

Outras Informações

ID Authenticus: P-003-AKT

DOI: 10.1080/14689360903252119

Abstract (EN): We study the dynamics of a Z(2) circle plus Z(2)-equivariant vector field in the neighbourhood of a heteroclinic network with a periodic trajectory and symmetric equilibria. We assume that around each equilibrium the linearization of the vector field has non-real eigenvalues. Trajectories starting near each node of the network turn around in space either following the periodic trajectory or due to the complex eigenvalues near the equilibria. Thus, in a network with rotating nodes, the rotations combine with transverse intersections of two-dimensional invariant manifolds to create switching near the network; close to the network, there are trajectories that visit neighbourhoods of the saddles following all the heteroclinic connections of the network in any given order. Our results are motivated by an example where switching was observed numerically by forced symmetry breaking of an asymptotically stable network with O(2) symmetry.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21