Unique normal forms for Hopf-zero vector fields

Guoting Chen; Duo Wang; Jiazhong Yang

doi:10.1016/S1631-073X(03)00043-8

Unique normal forms for Hopf-zero vector fields

Guoting Chen^*, Duo Wang, Jiazhong Yang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We consider normal forms of Hopf-zero vector fields in R³. Unique normal forms under conjugacy and orbital equivalence for the generic case are given.

Original language	English
Pages (from-to)	345-348
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	4
DOIs	https://doi.org/10.1016/S1631-073X(03)00043-8
Publication status	Published - 15 Feb 2003
Externally published	Yes

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10.1016/S1631-073X(03)00043-8

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title = "Unique normal forms for Hopf-zero vector fields",

abstract = "We consider normal forms of Hopf-zero vector fields in R3. Unique normal forms under conjugacy and orbital equivalence for the generic case are given.",

author = "Guoting Chen and Duo Wang and Jiazhong Yang",

note = "Funding Information: GC appreciates the hospitality of the Institute of Mathematics in Peking University where the Note was started. JY is grateful for the hospitality of le laboratoire AGAT de l{\textquoteright}Universit{\'e} de Lille 1 when he visited there. The work of DW and JY are partially supported by NSFC-10271007 and NSFC-10271006.",

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AU - Chen, Guoting

AU - Wang, Duo

AU - Yang, Jiazhong

N1 - Funding Information: GC appreciates the hospitality of the Institute of Mathematics in Peking University where the Note was started. JY is grateful for the hospitality of le laboratoire AGAT de l’Université de Lille 1 when he visited there. The work of DW and JY are partially supported by NSFC-10271007 and NSFC-10271006.

PY - 2003/2/15

Y1 - 2003/2/15

N2 - We consider normal forms of Hopf-zero vector fields in R3. Unique normal forms under conjugacy and orbital equivalence for the generic case are given.

AB - We consider normal forms of Hopf-zero vector fields in R3. Unique normal forms under conjugacy and orbital equivalence for the generic case are given.

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U2 - 10.1016/S1631-073X(03)00043-8

DO - 10.1016/S1631-073X(03)00043-8

M3 - Article

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SN - 1631-073X

VL - 336

SP - 345

EP - 348

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

Unique normal forms for Hopf-zero vector fields

Abstract

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