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

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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.
15 pages, 1 figure

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K-Theory and Homology, Dynamical Systems, 37G05, 34C20, 37J40, 34C23

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http://salesiana.dossiersoluciones.com/handle/123456789/73339

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411510
 http://arxiv.org/abs/math/0411510

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arXiv