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ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 7, 页码: 4225-4257
作者:  Li, Xuemei;  Shang, Zaijiu
收藏  |  浏览/下载:149/0  |  提交时间:2020/01/10
Invariant torus  small frequency  degeneracy  finite differentiability  
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  
numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems 期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 9, 页码: 1567
作者:  Ding Zhaodong;  Shang Zaijiu
收藏  |  浏览/下载:132/0  |  提交时间:2020/01/10
Toric Difference Variety 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 1, 页码: 173-195
作者:  Gao Xiao-Shan;  Huang Zhang;  Wang Jie;  Yuan Chun-Ming
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Affine N[x]-semimodule  difference torus  T-orbit  toirc difference ideal  toric difference variety  Z[x]-lattice.  
toricdifferencevariety 期刊论文
journalofsystemsscienceandcomplexity, 2017, 卷号: 30, 期号: 1, 页码: 173
作者:  Gao Xiaoshan;  Huang Zhang;  Wang Jie;  Yuan Chunming
收藏  |  浏览/下载:146/0  |  提交时间:2020/01/10
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:73/0  |  提交时间:2018/07/30
Poisson system  near-invariant tori  rapidly Newton iteration  
Resonant and Diophantine step sizes in computing invariant tori of Hamiltonian systems 期刊论文
NONLINEARITY, 2000, 卷号: 13, 期号: 1, 页码: 299-308
作者:  Shang, ZJ
收藏  |  浏览/下载:68/0  |  提交时间:2018/07/30
KAM theorem of symplectic algorithms for Hamiltonian systems 期刊论文
NUMERISCHE MATHEMATIK, 1999, 卷号: 83, 期号: 3, 页码: 477-496
作者:  Shang, ZJ
收藏  |  浏览/下载:69/0  |  提交时间:2018/07/30
Destruction of invariant tori in pendulum-type equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 卷号: 146, 期号: 1, 页码: 67-89
作者:  Huang, H
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
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