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Normal forms for periodic orbits of real vector fields

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Abstract

We consider normal forms of real vector fields near periodic orbits and provide sufficient conditions for their smooth linearization. In addition, the main results also assert the existence of vertical local foliations, whose leaves are all transversal to the periodic orbit.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China

    Ping Wang, Hao Wu & Wei Gu Li

Authors
  1. Ping Wang
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  2. Hao Wu
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  3. Wei Gu Li
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Corresponding author

Correspondence to Ping Wang.

Additional information

Partially supported by NSF Grant No. 10531010 and supported by NSF Grant NNSF of China (No. 10525104)

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Wang, P., Wu, H. & Li, W.G. Normal forms for periodic orbits of real vector fields. Acta. Math. Sin.-English Ser. 24, 797–808 (2008). https://doi.org/10.1007/s10114-007-0982-0

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  • DOI: https://doi.org/10.1007/s10114-007-0982-0

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