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Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold
期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:
Liu, Yanyan
;
Li, Chong
;
Li, Shujie
收藏
  |  
浏览/下载:103/0
  |  
提交时间:2021/10/26
Strongly indefinite superlinear problem
prescribed number of nontrivial solutions
nonautonomous Hamiltonian systems
Dirac equations on compact spin manifold
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
作者:
Jin, Pengzhan
;
Zhang, Zhen
;
Zhu, Aiqing
;
Tang, Yifa
;
Karniadakis, George Em
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  |  
浏览/下载:54/0
  |  
提交时间:2021/04/26
Deep learning
Physics-informed
Dynamical systems
Hamiltonian systems
Symplectic maps
Symplectic integrators
Drift-preserving numerical integrators for stochastic Hamiltonian systems
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
作者:
Chen, Chuchu
;
Cohen, David
;
D'Ambrosio, Raffaele
;
Lang, Annika
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  |  
浏览/下载:12/0
  |  
提交时间:2020/05/24
Stochastic differential equations
Stochastic Hamiltonian systems
Energy
Trace formula
Numerical schemes
Strong convergence
Weak convergence
Multilevel Monte Carlo
High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:
Tang, Wensheng
;
Sun, Yajuan
;
Zhang, Jingjing
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  |  
浏览/下载:60/0
  |  
提交时间:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods
Hamiltonian systems
Symplectic integrators
Legendre polynomial expansion
Simplifying assumptions
Arbitrary High-order EQUIP Methods for Stochastic Canonical Hamiltonian Systems
期刊论文
TAIWANESE JOURNAL OF MATHEMATICS, 2019, 卷号: 23, 期号: 3, 页码: 703-725
作者:
Li, Xiuyan
;
Zhang, Chiping
;
Ma, Qiang
;
Ding, Xiaohua
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2019/12/11
stochastic canonical Hamiltonian systems
EQUIP methods
symplectic
methods
energy-preserving methods
mean-square convergence
Robust H infinity Control for Switched Nonlinear Port-controlled Hamiltonian Systems
期刊论文
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 卷号: 17, 期号: 8, 页码: 1999-2011
作者:
Wang, Zi-Ming
;
Wei, Airong
;
Zhang, Xianfu
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
Actuator saturation
H-infinity control
multiple Lyapunov functions
port-controlled Hamiltonian systems
switched systems
The existence of periodic solution for infinite dimensional Hamiltonian systems
期刊论文
Computers and Mathematics with Applications, 2019
作者:
Deng W.
;
Han W.
;
Wang Q.
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  |  
浏览/下载:12/0
  |  
提交时间:2019/12/11
Infinite dimensional Hamiltonian systems
Periodic solution
Variational methods
Multiple solutions to damped Hamiltonian systems with impulsive effects
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 91, 页码: 173-180
作者:
Liu, Jian
;
Zhao, Zengqin
;
Zhang, Tongqian
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
Hamiltonian systems
Triple solutions
Damped term
Impulsive effects
Escaping from a degenerate version of the four hill potential
期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 126, 页码: 12-22
作者:
Zotos, Euaggelos E.
;
Chen, Wei
;
Jung, Christof
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/30
Hamiltonian systems
Basins of escapes
Degree of fractality
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
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  |  
浏览/下载:20/0
  |  
提交时间:2018/10/07
Hamiltonian systems
symplectic integrators
KAM theory
invariant tori
twist symplectic mappings
Russmann's non-degeneracy
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