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Quasi-Periodic Solutions for Differential Equations with an Elliptic-Type Degenerate Equilibrium Point Under Small Perturbations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 卷号: 31, 期号: 2, 页码: 653-681
作者:  Li, Xuemei;  Shang, Zaijiu
收藏  |  浏览/下载:137/0  |  提交时间:2020/01/10
Delay differential equation  Degenerate equilibrium point  Quasi-periodic solution  Perturbation  
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
LASALLE TYPE STATIONARY OSCILLATION THEOREMS FOR AFFINE-PERIODIC SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 7, 页码: 2907-2921
作者:  Wang, Hongren;  Yang, Xue;  Li, Yong;  Li, Xiaoyue
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
LaSalle type stationary oscillation principle  Q-affine T-periodic solutions  asymptotic stability  
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 306, 页码: 87-115
作者:  Ma, Qiang;  Cui, Junzhi;  Li, Zhihui;  Wang, Ziqiang
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Asymptotic analysis  Heat conduction equation  Quasi-periodic problem  Coordinate transformation  Finite element computation  Error estimation  
Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 314, 页码: 712-748
作者:  Li, Zhi-Hui;  Ma, Qiang;  Cui, Junzhi
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
Second-order two-scale asymptotic expansion  Finite-element algorithm  Dynamic thermo-mechanical coupling problem  Axisymmetric and spherical symmetric structure  Periodic configuration  
An inverse transmission scattering problem for periodic media 期刊论文
INVERSE PROBLEMS, 2011, 卷号: 27, 期号: 12, 页码: 22
作者:  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Revisiting Internal Pressure Dynamics in a Single Opening Enclosure Ventilated by Wind 期刊论文
INTERNATIONAL JOURNAL OF VENTILATION, 2011, 卷号: 10, 期号: 1, 页码: 1-18
作者:  Xu, Pengcheng;  Li, Yuguo
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
internal pressure  natural ventilation  single opening  periodic motion  wind  resonance  semi-nonlinear analysis  
Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2010, 卷号: 110, 期号: 2, 页码: 749-769
作者:  Xu, Xiaoping
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Nonlinear  Schrodinger equation  Coupled  Exact solution  Symmetry