%0 Journal Article
%T A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group
%A Maria Cristina Ciocci
%A Johan Noldus
%J Mathematics
%D 2004
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0411510v1