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Hopf bifurcation in coupled cell networks with interior symmetries

Title
Hopf bifurcation in coupled cell networks with interior symmetries
Type
Article in International Scientific Journal
Year
2008
Authors
antoneli, f
(Author)
Other
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dias, aps
(Author)
FCUP
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paiva, rc
(Author)
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Journal
Vol. 7 No. 1
Pages: 220-248
ISSN: 1536-0040
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-004-4TK
Abstract (EN): We consider an important class of nonsymmetric networks that lies between the class of general networks and the class of symmetric networks, where group theoretic methods still apply-namely, networks admitting "interior symmetries." The main result of this paper is the full analogue of the equivariant Hopf theorem for networks with symmetries. We extend the result of Golubitsky, Pivato, and Stewart [Dyn. Syst., 19 (2004), pp. 389-407] to obtain states whose linearizations on certain subsets of cells, near bifurcation, are superpositions of synchronous states with states having spatio-temporal symmetries.
Language: English
Type (Professor's evaluation): Scientific
Contact: antoneli@fc.up.pt; apdias@fc.up.pt; rui.paiva@fc.up.pt
No. of pages: 29
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