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Orbital Linearization of Smooth Completely Integrable Vector Fields

Vernadsky National Library of Ukraine

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Title Orbital Linearization of Smooth Completely Integrable Vector Fields
 
Creator Zung, N.T.
 
Description 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.
 
Date 2019-02-19T19:34:41Z
2019-02-19T19:34:41Z
2017
 
Type Article
 
Identifier Orbital Linearization of Smooth Completely Integrable Vector Fields / N.T. Zung // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 15 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 37G05; 58K50; 37J35
DOI:10.3842/SIGMA.2017.093
http://dspace.nbuv.gov.ua/handle/123456789/149271
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України