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Singularity theory and equivariant bifurcation problems with parameter symmetry

  • Jacques-Élie Furter (a1), Angela Maria Sitta (a2) and Ian Stewart (a3)
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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.

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[16]Vanderbauwhede, A.. Local bifurcation and symmetry. Research Notes in Math. 75 (Pitman, 1982).
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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