Linear equivalence and ODE-equivalence for coupled cell networks

• Tipo: Artigo em Revista Científica Internacional
• Data: 2005

Autores

dias, aps (Autor) FCUP; stewart, i (Autor) Outra

Revista

Título: Nonlinearity

Vol. 18 Nº 2

Páginas: 1003-1020

ISSN: 0951-7715

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 22 Citações

Scopus - 23 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-3PR

DOI: 10.1088/0951-7715/18/3/004

Abstract (EN): Coupled cell systems are systems of ordinary differential equations or ODEs, defined by 'admissible' vector fields, associated with a network whose nodes represent variables and whose edges specify couplings between nodes. It is known that non-isomorphic networks can correspond to the same space of admissible vector fields. Such networks are said to be 'ODE-equivalent'. We prove that two networks are ODE-equivalent if and only if they determine the same space of linear vector fields; moreover, the variable associated with each node may be assumed one-dimensional for that purpose. We briefly discuss the combinatorics of the resulting linear algebra problem.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18