Regular synchrony lattices for product coupled cell networks

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Manuela Aguiar (Autor) FEP; Ana Dias (Autor) FCUP

Revista

Título: Chaos

Vol. 25 Nº 1

Página Final: 013108

ISSN: 1054-1500

Editora: American Institute of Physics

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 6 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00A-6YS

DOI: 10.1063/1.4905703

Abstract (EN): There are several ways for constructing (bigger) networks from smaller networks. We consider here the cartesian and the Kronecker (tensor) product networks. Our main aim is to determine a relation between the lattices of synchrony subspaces for a product network and the component networks of the product. In this sense, we show how to obtain the lattice of regular synchrony subspaces for a product network from the lattices of synchrony subspaces for the component networks. Specifically, we prove that a tensor of subspaces is of synchrony for the product network if and only if the subspaces involved in the tensor are synchrony subspaces for the component networks of the product. We also show that, in general, there are (irregular) synchrony subspaces for the product network that are not described by the synchrony subspaces for the component networks, concluding that, in general, it is not possible to obtain the all synchrony lattice for the product network from the corresponding lattices for the component networks. We also make the following remark concerning the fact that the cartesian and Kronecker products, as graph operations, are quite different, implying that the associated coupled cell systems have distinct structures. Although, the kinds of dynamics expected to occur are difficult to compare, we establish an inclusion relation between the lattices of synchrony subspaces for the cartesian and Kronecker products. (C) 2015 AIP Publishing LLC.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10