Synchrony and Elementary Operations on Coupled Cell Networks

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

Autores

Manuela Aguiar (Autor) FEP; Dias, APS (Autor) FCUP; Ruan, H (Autor) Outra

Revista

Título: SIAM Journal on Applied Dynamical Systems

Vol. 15

Páginas: 322-337

ISSN: 1536-0040

Editora: Society for Industrial and Applied Mathematics

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 3 Citações

Outras Informações

ID Authenticus: P-00K-DG1

DOI: 10.1137/140980119

Abstract (EN): Given a finite graph (network), let every node (cell) represent an individual dynamics given by a system of ordinary differential equations, and every arrow (edge) encode the dynamical influence of the tail node on the head node. We have then defined a coupled cell system that is associated with the given network structure. Subspaces that are defined by equalities of cell coordinates and left invariant under every coupled cell system respecting the network structure are called synchrony subspaces. They are completely determined by the network structure and form a complete lattice under set inclusions. We analyze the transition of the lattice of synchrony subspaces of a network that is caused by structural changes in the network topology, such as deletion and addition of cells or edges, and rewirings of edges. We give sufficient, and in some cases both sufficient and necessary, conditions under which lattice elements persist or disappear.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16