A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group

Details A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group

2004-11-23

arxiv.org/abs/math/0411510v1

Mathematics

K-Theory and Homology

15 pages, 1 figure

Scientific paper

We present a generalized Lyapunov Schmidt reduction scheme for diffeomorphisms living on a finite dimensional real vector space V which transform under real one dimensional characters of an arbitrary compact group with linear action V. Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties with respect to the character.

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