Go to:
Logótipo
Comuta visibilidade da coluna esquerda
Você está em: Start > Publications > View > Hopf bifurcation on a simple cubic lattice
Publication

Publications

Hopf bifurcation on a simple cubic lattice

Title
Hopf bifurcation on a simple cubic lattice
Type
Article in International Scientific Journal
Year
1999
Authors
dias, aps
(Author)
FCUP
View Personal Page You do not have permissions to view the institutional email. Search for Participant Publications View Authenticus page View ORCID page
stewart, i
(Author)
Other
The person does not belong to the institution. The person does not belong to the institution. The person does not belong to the institution. Without AUTHENTICUS Without ORCID
Journal
Vol. 14
Pages: 3-55
ISSN: 0268-1110
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 53
Documents
We could not find any documents associated to the publication.
Related Publications

Of the same authors

Toric geometry and equivariant bifurcations (2000)
Article in International Scientific Journal
stewart, i; dias, aps
Symmetry-breaking bifurcations of wreath product systems (1999)
Article in International Scientific Journal
dias, aps; stewart, i
Symmetry groupoids and admissible vector fields for coupled cell networks (2004)
Article in International Scientific Journal
dias, aps; stewart, i
Secondary bifurcations in systems with all-to-all coupling (2003)
Article in International Scientific Journal
dias, aps; stewart, i
Linear equivalence and ODE-equivalence for coupled cell networks (2005)
Article in International Scientific Journal
dias, aps; stewart, i

See all (8)

Of the same journal

Singularities of equations of Hodgkin-Huxley type (1996)
Article in International Scientific Journal
Labouriau, IS; Ruas, MAS
Non-critical saddle-node cycles and robust non-hyperbolic dynamics (1997)
Article in International Scientific Journal
Diaz, LJ; Rocha, J
MODE INTERACTIONS WITH SYMMETRY (1995)
Article in International Scientific Journal
Sofia B. S. D. Castro
Heteroclinic cycles and wreath product symmetries (2000)
Article in International Scientific Journal
dias, aps; dionne, b; stewart, i
Recommend this page Top
Copyright 1996-2025 © Faculdade de Direito da Universidade do Porto  I Terms and Conditions  I Acessibility  I Index A-Z
Page created on: 2025-07-24 at 11:16:32 | Privacy Policy | Personal Data Protection Policy | Whistleblowing