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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73339We 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.15 pages, 1 figureK-Theory and HomologyDynamical Systems37G05, 34C20, 37J40, 34C23A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry grouptext