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
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Creator |
Zung, N.T.
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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.
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Date |
2019-02-19T19:34:41Z
2019-02-19T19:34:41Z 2017 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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