Orbital Linearization of Smooth Completely Integrable Vector Fields

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2017
• 1. Verfasser: Zung, N.T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/149271
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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 form...