Comptes Rendus
Dynamical Systems
Unique normal forms for Hopf-zero vector fields
Comptes Rendus. Mathématique, Volume 336 (2003) no. 4, pp. 345-348.

We consider normal forms of Hopf-zero vector fields in R 3 . Unique normal forms under conjugacy and orbital equivalence for the generic case are given.

Nous étudions l'unicité des formes normales de champs de vecteurs de type Hopf-zéro dans R 3 . Des formes normales uniques dans le cas générique sont données par rapport aux changements de coordonnées et pour l'équivalence orbitale.

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Accepted:
Published online:
DOI: 10.1016/S1631-073X(03)00043-8

Guoting Chen 1; Duo Wang 2; Jiazhong Yang 2

1 UFR de mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq, France
2 LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
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Guoting Chen; Duo Wang; Jiazhong Yang. Unique normal forms for Hopf-zero vector fields. Comptes Rendus. Mathématique, Volume 336 (2003) no. 4, pp. 345-348. doi : 10.1016/S1631-073X(03)00043-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00043-8/

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