A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group
نویسندگان
چکیده
We present a generalized Lyapunov Schmidt (ls) reduction scheme for diffeomorphisms living on a finite dimensional real vector space V which transform under real one dimensional characters χ of an arbitrary compact group with linear action on V . Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties with respect to χ. Mathematics Subject Classification 37G05, 34C20, 37J40, 34C23. Research Fellow, Department of Mathematics and Statistics, University of Surrey. Guildford, Surrey, GU2 7XH, UK. E-mail: [email protected] Post Doc, Spinoza institute for theoretical physics, Minnaertgebouw, Leuvenlaan 4. 3508TD Utrecht, NL. Preprint numbers: SPIN 04/25, ITP-UU 04/42
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