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| Near-invariant Tori on Exponentially Long Time for Poisson systems |
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| KeyWord:Poisson system near-invariant tori rapidly Newton iteration |
| Author Name | Affiliation | | Fuzhong Cong | Office of Mathematics, Fundamental Department, Air Force Aviation University, Changchun, Jilin 130022, China | | Jialin Hong | State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, China | | Rui Wu | Department of Mathematics, Changchun University of Finance and Economics, Changchun, Jilin 130122, China |
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| Abstract: |
| 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 one in the past works. |
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