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Path formulation for \(\mathbb Z_2\oplus\mathbb Z_2\)-equivariant bifurcation problems. (English) Zbl 1128.58020

Brasselet, Jean-Paul (ed.) et al., Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19–23, 2004. Basel: Birkhäuser (ISBN 3-7643-7775-5/hbk). Trends in Mathematics, 127-141 (2007).
The main goal of the article is the path formulation as an alternative method to obtain the classification of \(\mathbb{Z}_2 \oplus \mathbb{Z}_2\)-equivariant bifurcation problems and to compare it with the given one in [M. G. Manoel and I. Stewart, Int. J. Bifur. Chaos 9, No. 8, 1653–1667 (1999)] using the classical techniques of singularity theory of differentiable mappings.
For the entire collection see [Zbl 1108.14001].

MSC:

58K70 Symmetries, equivariance on manifolds
37G40 Dynamical aspects of symmetries, equivariant bifurcation theory
58K40 Classification; finite determinacy of map germs
58E09 Group-invariant bifurcation theory in infinite-dimensional spaces
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