symplectic相关论文
Since many dynamics systems or processes can be described by differential-algebraic equations(DAEs),the DAE optimal cont......
In this paper, we consider a class of left invariant Riemannian metrics on Sp(n),which is invariant under the adjoint ac......
Explicit structure-preserving geometric particle-in-cell algorithm in curvilinear orthogonal coordin
Explicit structure-preserving geometric particle-in-cell(PIC)algorithm in curvilinear orthogonal coordinate systems is d......
<正> Ⅰ. INTRODUCTIONLet K be a field and F an n×n non-singular alternate matrix over K. From the non-singularity o......
A new Lax matrix is introduced for the integrable symplectic map (ISM), and the non-dynamical(i. e. constant) r-matrix o......
In this paper, the automorphism group of a generalized extraspecial p-group G is determined, where p is a prime number. ......
In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations ......
The basic theory of symplectic algorithm was introduced. A comparison between Runge-Kutta method and symplectic integrat......
A symplectic matrix M is singular, if det(M-I)=0. In this paper we study the struc-ture of the singular set of symplecti......
LetSp (n， R ) 是 sympletic 组，和 letK n * 是它的最大的紧缩的亚群。ThenG=Sp (n， R )/K n * 能作为类型一的 Siegel 领域被认识到......
Based on the algebraic dynamics solution of ordinary differential equations andintegration of ,the symplectic algebra......
SOLVING THE PROPAGATION OF ELECTROMAGNETIC WAVE IN A SIMPLE TWO-DIMENSIONALINHOMOGENEOUS MEDIUM BASE
A new symplectic geometrical high-frequency approximation method for solving the propagation of electromagnetic wave in......
The unimolecular dissociation of HCO ground state was investigated with the time-dependent full-quantum symplectic propa......
The calculation of H + H2 system by symplectic quasiclassical trajectory (SQCT) shows that there are two types of collis......
The basic theory of symplectic algorithm was introduced. A comparison between Runge-Kutta method and symplectic integrat......
AN EXACT SYMPLECTIC SOLUTION FOR THE DYNAMIC ANALYSIS OF SHEAR DEFORMABLE ANTISYMMETRIC ANGLE-PLY LA
From the mixed variational principle,by the selection of the state variables and its dualvariables,the Hamtltonian cano......
Non-self-adjoint dynamical systems, e.g., nonholonomic systems, can admit an almost Poisson structure, which is formulat......
将辛算法应用于准经典轨线理论,模拟了Ba+HF反应在扩展的London-Eyring-Polanyi-Sato(LEPS)势能面上的动力学行为.比较哈密顿体系......
Here we introduce generalized momentum and coordinate to transform seismic wave displacement equations into Hamiltonian ......
Irreducibility of The Igusa Tower Haruzo HIDA We shall give a simple(basically) purely in characteristic p proof of the ......
Construction of compressed sensing matrixes based on the singular pseudo-symplectic space over finit
Compressed sensing(CS) provides a new approach to acquire data as a sampling technique and makes it sure that a sparse s......
Properties of symplectic Runge-Kutta (RK) methods and symplectic partitioned RungeKutta (PRK) methods with real eigenval......
This paper applies exponentially fitted trapezoidal scheme to a stochastic oscillator.The scheme is convergent with mean......
This is an expository paper on geometric flows.I will start with a brief tour on Ricci flow,then I will discuss two geom......
本文首先从一个新的2×2谱问题出发，导出了一族(1+1)维孤子方程．然后利用谱问题对应的Riccati方程获得该等谱方程族的无穷多个守恒律......
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7......
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7......
Gyroscopic dynamic system can be introduced to Hamiltonian system. Based on an adjoint symplectic subspace iteration met......
Combining the symplectic variations theory, the homogeneous control equation and isoparametric element homogeneous formu......
导出了在静力学条件下弹性杆的形式Hamilton方程,并引入四元数,进一步推导出了用四元数表示的具有辛结构的弹性杆结构方程。用辛Ru......
给出了非线性哈密顿系统的蛙跳格式,并且给出了非线性哈密顿系统的蛙跳格式是辛差分格式的一种理论证明。......
利用结构力学与最优控制的模拟理论，把哈密尔顿体系引入到弹性波导问题中，导出动力－部分杂交元，建立一套哈密尔顿体系下的半解析法，并通......
本文以电阻一端的电压和电流值作为状态参量，将电阻电路的计算纳入辛体系，以简单电阻电路、电阻多级串联电路以及多支路复杂电阻电路......
本文将电感电路问题导向辛体系，探讨电感电路的辛分析方法。以电感一端的电势及通过电感的电流变化率作为状态参量，通过对简单电感电......
基于对偶变量变分原理,选择积分区间两端位移为独立变量,构造了求解完整约束哈密顿动力系统的高阶保辛算法。首先,利用拉格朗日多......
从哈密尔顿体系的角度,采用辛算法求解单摆的大角度摆动难题.构造了二阶和四阶辛格式,并在长时间的模拟中得到稳定和准确的数值解.......
通过引入对偶变量，将平面正交各向异性问题导入哈密顿体系，袖珍肉欧几里德几何空间向立辛几何空间的转换，从而使得分量变量及本征函数......
A universal symplectic structure for a Newtonian system including nonconservative cases can be construeted in the framew......
近年来发展起来的微分解型叠前深度偏移成像技术 ,在复杂油气勘探的实践中不断完善 ,已经成为复杂地质目标偏移成像必不可缺的工具......
基于前人的工作,在Hamiltonian矩阵约化过程中,采用辛相似变换,使得Hamiltonian矩阵在辛相似变换下仍保持Hamilton结构,这样从根本......
考察辛代数的Peirce分解.在此过程中应用了Meyberg K.关于结合代数的Peirce分解,利用结合代数的幂等元,得到了辛代数的Peirce分解,......
根据平面弹性与薄板弯曲问题的相似性原理,极坐标系板弯曲的弯矩函数被引入作为原变量,并通过恰当的辛内积定义建立了环扇形薄板弯......
基于多尺度分析理论,引入哈密顿体系和插值小波变换,分别构造了适合于求解复杂域波传问题的快速自适应方法--多尺度辛格式和插值小......
对于有着广泛应用背景的Hamiltonian矩阵，研究了在Hamiltonian矩阵的辛约化过程中，构建用于各阶段的测试Hamiltonian矩阵结构问题的......
本文从一个简单电容电路出发,引入所带电量及端点电势构成的状态向量,将电容电路的计算导入了辛体系,以辛矩阵的形式给出了电容多......
基于虚功原理，从平衡方程和力学边界条件出发，得到平面Stokes流的拉格朗日函数，为拉格朗日函数的选取提供了理论依据．并导出哈密顿函数......
为了解决复杂形状横截面的电磁波导问题,根据电磁波导的Hamilton体系,采用有限元半解析横向离散的方法,在辛几何形式下对电磁波导......
A symplectic mapping is studied carefully. The exponential diffusion law in developed chaotic region and algebraic law i......
This paper develops a new approach to construct variational integrators.A simplified unconventional Hamilton’s variatio......
