Equivariant Normal Forms

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


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.


Normal Form High Order Term Recognition Problem Isotropy Subgroup Bifurcation Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations