Hopf bifurcation on a simple cubic lattice

• Tipo: Artigo em Revista Científica Internacional
• Data: 1999

Autores

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

Revista

Título: Dynamics and Stability of Systems

Vol. 14

Páginas: 3-55

ISSN: 0268-1110

Editora: Oxford University Press

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 5 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-4YZ

Abstract (EN): We study Hopf bifurcation for differential equations defined on the space of functions on R-3 which are triply periodic with respect to a simple (primitive) cubic lattice. The centre manifold theorem reduces the problem to a system of ordinary differential equations (ODEs) on the space (C + C)(3) and symmetric under the group (O + Z(2)(c)) + T-3. We abstract this group as the wreath product group O(2)symmetry-breaking bifurcations for wreath product groups to find (up to conjugacy) all branches of periodic solutions with maximal isotropy. The stability of these solutions is calculated. Branches of periodic solutions with sub-maximal isotropy can also exist. Some possibilities for bifurcations to heteroclinic cycles are explored.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 53