Orbital Linearization of Smooth Completely Integrable Vector Fields

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Zung, N.T.
dc.date.accessioned	2019-02-19T19:34:41Z
dc.date.available	2019-02-19T19:34:41Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 37G05; 58K50; 37J35
dc.identifier.other	DOI:10.3842/SIGMA.2017.093
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149271
dc.description.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.	uk_UA
dc.description.sponsorship	The first version of this manuscript was available since 2012 as an unpublished preprint (see arXiv:1204.5701v1). It was then revised and submitted during the author’s stay at the School of Mathematical Sciences, Shanghai Jiao Tong University, as a visiting professor in 2017. He would like to thank Shanghai Jiao Tong University, and especially Tudor Ratiu, Jianshu Li, and Jie Hu for the invitation, hospitality and excellent working conditions. The authors would also like to thank the referees of this paper for many pertinent remarks which helped improve the presentation of the paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Orbital Linearization of Smooth Completely Integrable Vector Fields	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA