Dynamical Systems
Unique normal forms for Hopf-zero vector fields
[Formes normales uniques des champs de vecteurs de type Hopf-zéro]

Présenté par : Bernard Malgrange

Chen, Guoting1 ; Wang, Duo2 ; Yang, Jiazhong2
1 UFR de mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq, France
2 LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
Comptes Rendus. Mathématique, Tome 336 (2003) no. 4, pp. 345-348.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00043-8
Chen, Guoting 1 ; Wang, Duo 2 ; Yang, Jiazhong 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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Chen, Guoting; Wang, Duo; Yang, Jiazhong. Unique normal forms for Hopf-zero vector fields. Comptes Rendus. Mathématique, Tome 336 (2003) no. 4, pp. 345-348. doi : 10.1016/S1631-073X(03)00043-8. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00043-8/

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