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.
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© 1988 Springer-Verlag New York, Inc.
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Golubitsky, M., Stewart, I., Schaeffer, D.G. (1988). Equivariant Normal Forms. In: Singularities and Groups in Bifurcation Theory. Applied Mathematical Sciences, vol 69. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4574-2_5
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DOI: https://doi.org/10.1007/978-1-4612-4574-2_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8929-6
Online ISBN: 978-1-4612-4574-2
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