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一类双曲向量场的光滑线性化 被引量:2

Smooth Linearizability of Some Hyperbolic Vector Fields
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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。 It is studied that smooth linearizability and finitely smooth linearizability of some hyperbolic vector fields.
作者 任志华
出处 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第1期1-4,共4页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金资助项目 (10 2 710 0 6 )
关键词 共振 上共振 下共振 向量场 线性化 resonance upper-resonance low-resonance vector fields linearization
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参考文献11

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同被引文献5

  • 1Bruno A. Local methods in nonlinear differential equations[M]. Springer-Verlag, 1989.
  • 2Chen K T. Equivalence and decomposition of vector fields an elementary critical point[J]. Amer J Math, 1963(85): 693-722.
  • 3Chow S N, Li C, and Wang D. Normal Forms and Bifurcation of Planar Vector Fields[M]. Cambridge University Press, 1994.
  • 4Basto-Goncalves J, Cruz I. Analytic invariability of some resonant vector fields[J]. Proc AMS, 2001(129): 2473-2481.
  • 5Yang J. Polynomial normal forms for vector fields onR3[J]. DuKe math J, 2001(106): 1-18.

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