Near-invariant tori on exponentially long time for Poisson systems ✩
Near-invariant tori on exponentially long time for Poisson systems ✩
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DOI：
10.1016/j.jmaa.2006.12.046
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发表时间：
2007-10
影响因子：
1.3
通讯作者：
Fuzhong Cong;Jialin Hong;Yuliang Han
中科院分区：
文献类型：
--
作者：
Fuzhong Cong;Jialin Hong;Yuliang Han
本文研究Poisson系统的近不变环面。结果表明，在极长的时间内，以丢番图环面附近为初始点的轨道接近某些准周期轨道。特别是，对于经典哈密顿系统的结果是成立的，在这种情况下，运动的漂移比以往的工作要小。
This paper deals with the near-invariant tori for Poisson systems. It is shown that the orbits with the initial points near the Diophantine torus approach some quasi-periodic orbits over an extremely long time. In particular, the results hold for the classical Hamiltonian system, and in this case the drift of the motions is smaller than the one in the past works.