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文章基本信息

  • 标题:On Invariant Tori of Nearly Integrable Hamiltonian Systems with Quasiperiodic Perturbation
  • 本地全文:下载
  • 作者:Dongfeng Zhang ; Rong Cheng
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/697343
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We are concerned with the persistence of frequency of invariant tori for analytic integrable Hamiltonian system with quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the Rüssmann's nondegeneracy condition and has nonzero Brouwer's topological degree at some Diophantine frequency; the perturbed system satisfies the colinked nonresonant condition, then the invariant torus with this frequency persists under quasiperiodic perturbation.

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