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Singularity theory and equivariant bifurcation problems with parameter symmetry

Published online by Cambridge University Press:  24 October 2008

Jacques-Élie Furter ,
Angela Maria Sitta  and
Ian Stewart
Jacques-Élie Furter
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge UB8 3PM
Angela Maria Sitta
Affiliation:
Departamento de Matemática, IBILCE-UNESP, Brazil
Ian Stewart
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL.
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Extract

The study of equivariant bifurcation problems via singularity theory (Golubitsky and Schaeffer[8], Golubitsky, Stewart and Schaeffer[9]) has been mainly concerned with models exhibiting spontaneous symmetry-breaking. The solutions of such bifurcation problems lose symmetry as the parameters vary, but the equations that they satisfy retain the same symmetry throughout.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 3 , October 1996 , pp. 547 - 578
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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