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Unique Orbital Normal Form for Vector Fields of Hopf-Zero Singularity

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Abstract

Normal forms for vector fields of Hopf-zero singularity in R3 are studied. Multiple Lie bracket method is used to give unique normal forms under both conjugacy and orbital equivalence for such vector fields with a generic quadratic part.

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Authors and Affiliations

  1. UFR de Mathématiques, UMR CNRS 8524, Université de Lille 1, 59655, Villeneuve d’Ascq, France

    Guoting Chen

  2. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Duo Wang & Jiazhong Yang

Authors
  1. Guoting Chen
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  2. Duo Wang
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  3. Jiazhong Yang
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Correspondence to Duo Wang.

Additional information

Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday.

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Chen, G., Wang, D. & Yang, J. Unique Orbital Normal Form for Vector Fields of Hopf-Zero Singularity. J Dyn Diff Equat 17, 3–20 (2005). https://doi.org/10.1007/s10884-005-2876-0

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  • DOI: https://doi.org/10.1007/s10884-005-2876-0

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