
doi: 10.1007/bf02476553
The paper gives the basic elements of \(\mathbb{Z}_ n\)-equivariant bifurcation theory; in particular, some results on the normal form and the universal unfolding of a singularity of a \(\mathbb{Z}_ n\)-equivariant mapping are obtained. As an example the case \(n=3\) is treated in some detail.
Group-invariant bifurcation theory in infinite-dimensional spaces, universal unfolding, bifurcation, \(\mathbb{Z}_ n\)-equivariant singularities
Group-invariant bifurcation theory in infinite-dimensional spaces, universal unfolding, bifurcation, \(\mathbb{Z}_ n\)-equivariant singularities
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