Orbital linearization of smooth completely integrable vector fields

Details Orbital linearization of smooth completely integrable vector fields Orbital linearization of smooth completely integrable vector fields

2012-04-25

arxiv.org/abs/1204.5701v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

The main purpose of this paper is to prove the smooth local orbital linearization theorem for smooth vector fields which admit a complete set of first integrals near a nondegenerate singular point. The main tools used in the proof of this theorem are the formal orbital linearization theorem for formal integrable vector fields, the blowing-up method, and the Sternberg--Chen isomorphism theorem for formally-equivalent smooth hyperbolic vector fields.

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