Quasi-periodic states in coupled rings of cells

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

Autores

antoneli, f (Autor) Outra; dias, aps (Autor) FCUP; pinto, cma (Autor) Outra

Revista

Título: Communications in Nonlinear Science and Numerical Simulation

Vol. 15 Nº 4

Páginas: 1048-1062

ISSN: 1007-5704

Editora: Elsevier

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 11 Citações

Classificação Científica

FOS: Humanidades > Línguas e literaturas

Outras Informações

ID Authenticus: P-003-7PS

DOI: 10.1016/j.cnsns.2009.05.035

Abstract (EN): We study some dynamical features of certain coupled cell networks that consist of two (unidirectional or bidirectional) rings of cells coupled through a 'buffer' cell. Depending on how the rings and the buffer cell are coupled. the full network may have a non-trivial group of symmetries or a non-trivial group of 'interior' symmetries. This group is Z(p) x Z(q) in the unidirectional case and D-p x D-q in the bidirectional case. We are interested in finding quasi-periodic motion in these networks, motivated by an example presented by Golubitsky, Nicol and Stewart (Some curious phenomena in coupled cell systems, J Nonlinear Sci 2004; 14(2):207-36). In the examples considered here, we obtain quasi-periodic states through a sequence of Hopf bifurcations. Interestingly, we observe relaxation oscillation phenomena appearing further away from the last Hopf bifurcation point. We use XPPAUT and MATLAB to compute numerically the relevant states.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15