Orbital Linearization of Smooth Completely Integrable Vector Fields

Symmetry Integrability and Geometry-Methods and Applications

article

Nguyen Tien Zung¹ 

[1] School of Mathematics, Shanghai Jiao Tong University

关键词: integrable system;    normal form;    linearization;    nondegenerate singularity;   

DOI  :  10.3842/SIGMA.2017.093

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown