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arXiv · 1204.5701

Orbital Linearization of Smooth Completely Integrable Vector Fields

Nguyen Tien Zung
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Abstract

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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Nguyen Tien Zung. 2012-04-25. Orbital Linearization of Smooth Completely Integrable Vector Fields. https://doi.org/10.3842/sigma.2017.093

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