The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems

被引：4
作者：
LIU Bin Laboratory of Mathematics and its Applications School of Mathematical Sciences Peking University Beijing China [100871 ]
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来源：
ScienceinChina(SeriesA:Mathematics) | 2010年 / 53卷 / 01期
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D O I：
暂无
中图分类号：
O175.13 [稳定性理论];
学科分类号：
摘要：
We deal with the stability of zero solutions of planar Hamiltonian and reversible systems which are quasi-periodic in the time variable. Under some reasonable assumptionswe prove the existence of quasi-periodic solutions in a small neighborhood of zero solutions and the stability of zero solutions.
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页码：125 / 136
页数：12
相关论文
共 5 条
  • [1] The Stability of the Equilibrium of Planar Hamiltonian and Reversible Systems[J] Bin Liu Journal of dynamics and differential equations 2006,
  • [2] Stability of Zero Solutions of Essentially Nonlinear One-Degree-of-Freedom Hamiltonian and Reversible Systems[J] Yu. N. Bibikov Differential Equations 2002,
  • [3] Invariant Curves of Mappings with Averaged Small Twist[J] Rafael Ortega Advanced Nonlinear Studies 2001,
  • [4] Parabolic fixed points and stability criteria for nonlinear Hill's equation[J] D. Núñez;R. Ortega ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees 2000,
  • [5] The Stability of the Equilibrium of a Conservative System[J] Bin Liu Journal of Mathematical Analysis and Applications 1996, 1
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