Equivariant Normal Forms

  • Martin Golubitsky
  • Ian Stewart
  • David G. Schaeffer
Part of the Applied Mathematical Sciences book series (AMS, volume 69)

Abstract

From the geometry of equivariant bifurcation problems we move on to their algebra, that is, to singularity theory. Our aim in the next two chapters is to develop Γ-equivariant generalizations of the ideas introduced in Chapters II and III. In particular, in this chapter we develop machinery to solve the recognition problem for Γ-equivariant bifurcation problems. In the next chapter we adapt unfolding theory to the equivariant setting. We also give proofs of the main theorems. When specialized to Γ = 1 these will provide the promised proof of the Unfolding Theorem III, 2.3.

Keywords

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Copyright information

© Springer-Verlag New York, Inc. 1988

Authors and Affiliations

  • Martin Golubitsky
    • 1
  • Ian Stewart
    • 2
  • David G. Schaeffer
    • 3
  1. 1.Mathematics DepartmentUniversity of HoustonHoustonUSA
  2. 2.Mathematics InstituteUniversity of WarwickCoventryEngland
  3. 3.Mathematics DepartmentDuke UniversityDurhamUSA

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