4 papers
Learning symplectic model reduction based on an approximation theorem of symplectic embeddings
Liyi Feng, Yifa Tang, Yulin Xie +2
High-dimensional Hamiltonian systems play a central role in many scientific and engineering disciplines, with dynamics that evolve on symplectic manifolds. Although deep learning p…
Effective Numerical Simulation of Fault Transient System
Sixu Wu, Feng Ji, Lu Gao +3
Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a…
Canonical Hamiltonian Guiding Center Dynamics and Its Intrinsic Magnetic Moment
Ruili Zhang, Jian Liu, Tong Liu +3
The concept of guiding center is potent in astrophysics, space plasmas, fusion researches, and arc plasmas to solve the multi-scale dynamics of magnetized plasmas. In this letter,…
Symplectic methods for non-canonical Hamiltonian systems
Beibei Zhu, Ruili Zhang, Yifa Tang +1
We show that, when applied to any non-canonical Hamiltonian system, any integrator that is symplectic for canonical Hamiltonian problems is actually conjugate symplectic for the no…