Equivariant Normal Forms
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.
KeywordsNormal Form High Order Term Recognition Problem Isotropy Subgroup Bifurcation Problem
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