Torus actions and automorphism groups of singularities of integrable dynamical systems

Details Torus actions and automorphism groups of singularities of integrable dynamical systems Torus actions and automorphism groups of singularities of integrable dynamical systems

2002-12-23

arxiv.org/abs/math/0212319v3

Mathematics

Dynamical Systems

revised version, submitted to Comptes Rendus Acad Sci Paris

Scientific paper

We show that in the neighborhood of each ``finite type'' singular orbit of a
real analytic integrable dynamical system (hamiltonian or not) there is a real
analytic torus action which preserves the system and which is transitive on
this orbit. We also show that the local automorphism group of the system near
such an orbit is

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