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Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
作者:  Ding, Zhaodong;  Shang, Zaijiu
收藏  |  浏览/下载:143/0  |  提交时间:2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
Near-invariant tori on exponentially long time for Poisson systems 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 卷号: 334, 期号: 1, 页码: 59-68
作者:  Cong, Fuzhong;  Hong, Jialin;  Han, Yuliang
收藏  |  浏览/下载:72/0  |  提交时间:2018/07/30
Poisson system  near-invariant tori  rapidly Newton iteration  
Boundedness of solutions and existence of invariant tori for generalized pendulum type equation 期刊论文
CHINESE SCIENCE BULLETIN, 1997, 卷号: 42, 期号: 20, 页码: 1673-1675
作者:  Huang, H;  Yuan, R
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
boundedness of solutions  invariant tori  quasiperiodic solutions  Moser's small twist theorem