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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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VPNets: Volume-preserving neural networks for learning source-free dynamics
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
Authors:
Zhu, Aiqing
;
Zhu, Beibei
;
Zhang, Jiawei
;
Tang, Yifa
;
Liu, Jian
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View/Download:31/0
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Submit date:2023/02/07
Deep learning
Neural networks
Discovery of dynamics
Source-free dynamics
Volume-preserving
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
Authors:
Song, Jin
;
Yan, Zhenya
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View/Download:28/0
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Submit date:2023/02/07
Amended Gross-Pitaevskii equations
PT -symmetric potential
Quantum droplets
Stable solitons
Soliton interactions and excitations
On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
Authors:
Wang, Ya-Nan
;
Yan, Jun
;
Zhang, Jianlu
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View/Download:26/0
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Submit date:2023/02/07
Discounted Hamilton-Jacobi equation
Viscosity solution
Conjugated weak KAM solutions
Aubry Mather sets
Mane's genericity
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
Authors:
Cao, Daomin
;
Feng, Binhua
;
Luo, Tingjian
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Submit date:2023/02/07
XFEL Schr?dinger equation
nonlinear elliptic equations
normalized solutions
orbital stability
strong instability
HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 29
Authors:
Nguyen, Quoc-Hung
;
Sire, Yannick
;
Truong, Le Xuan
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Submit date:2023/02/07
Drift-diffusion equations
dissipative SQG
regularity
De Giorgi method
Towards a theoretical foundation of PID control for uncertain nonlinear systems
期刊论文
AUTOMATICA, 2022, 卷号: 142, 页码: 12
Authors:
Zhao, Cheng
;
Guo, Lei
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Submit date:2023/02/07
PID control
Uncertain nonlinear systems
Non-affine systems
Global stabilization
Asymptotic regulation
Dynamics on the number of prime divisors for additive arithmetic semigroups
期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 卷号: 81, 页码: 28
Authors:
Wang, Biao
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Submit date:2023/02/07
Prime Number Theorem
Liouville function
Largest prime factors
Uniquely ergodic
Uniform distribution
Contact-PIC numerical methods for simulating Vlasov-Poisson-Fokker-Planck problem
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 459, 页码: 24
Authors:
Shi, Yanyan
;
Sun, Yajuan
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Submit date:2023/02/07
Vlasov-Poisson-Fokker-Planck system
Particle-in-cell technique
Contact method
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Lu, Yulan
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Submit date:2023/02/07
 
Invariant measure
Markov chain
weak convergence
backward Euler method
stochastic differential equations with piecewise continuous arguments
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
Authors:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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Submit date:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions