Orbital Linearization of Smooth Completely Integrable Vector Fields
Dynamical Systems
2017-12-13 v4
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.
Keywords
Cite
@article{arxiv.1204.5701,
title = {Orbital Linearization of Smooth Completely Integrable Vector Fields},
author = {Nguyen Tien Zung},
journal= {arXiv preprint arXiv:1204.5701},
year = {2017}
}