北京大学学报(自然科学版)

一类双曲向量场的光滑线性化

任志华   

  1. 北京大学数学科学学院,北京,100871
  • 收稿日期:2002-12-05 出版日期:2004-01-20 发布日期:2004-01-20

Smooth Linearizability of Some Hyperbolic Vector Fields

REN Zhihua   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2002-12-05 Online:2004-01-20 Published:2004-01-20

摘要: 讨论了一类向量场X(x)=Ax+… 在双曲奇点附近的光滑线性化及有限阶光滑线性化问题。

关键词: 共振, 上共振, 下共振, 向量场, 线性化

Abstract: It is studied that smooth linearizability and finitely smooth linearizability of some hyperbolic vector fields.

Key words: resonance, upper resonance, low resonance, vector fields, linearization

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