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SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
Authors:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download:68/0  |  Submit date:2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
Global behaviors of weak KAM solutions for exact symplectic twist maps 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 7, 页码: 5730-5753
Authors:  Zhang, Jianlu
Favorite  |  View/Download:59/0  |  Submit date:2020/09/23
Exact syplectic twist map  Aubry Mather theory  Hamilton Jacobi equation  Generalized characteristics  Weak KAM solution  Transition chain  
The Fukumoto-Moffatt's model in the vortex filament and generalized bi-Schrodinger maps 期刊论文
PHYSICS LETTERS A, 2011, 卷号: 375, 期号: 12, 页码: 1457-1460
Authors:  Ding, Qing;  Wang, Wei;  Wang, Youde
Favorite  |  View/Download:46/0  |  Submit date:2018/07/30
Fukumoto-Moffatt's model  Geometric interpretation  Bi-Schrodinger map  
Schrodinger flow of maps into symplectic manifolds 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 卷号: 41, 期号: 7, 页码: 746-755
Authors:  Ding, WY;  Wang, YD
Favorite  |  View/Download:44/0  |  Submit date:2018/07/30
Schrodinger flow  Kahler manifold  conservative law  sectional curvature