Normal Forms for Periodic Orbits of Real Vector Fields

Normal Forms for Periodic Orbits of Real Vector Fields

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摘要 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. 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.

作者 Ping WANG Hao WU Wei Gu LI

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第5期797-808,共12页 数学学报（英文版）

基金 NSF Grant No.10531010 NSF Grant NNSF of China (No.10525104)

关键词 normal form Homotopy method FOLIATION normal form, Homotopy method, foliation

分类号 O17 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2008年第5期

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Normal Forms for Periodic Orbits of Real Vector Fields

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