The perturbation approximation should be symplectic conservative.
摄动法近似应当保辛。
The characteristic of conservative system is symplectic conservation.
在物理与力学中有大量保守体系的分析。
In this paper, we study the Lagrange bisection at the symplectic groupoids.
本文研究了辛群胚上的拉格朗日双截面。
The nilpotency about the symplectic ternary algebra is discussed in this paper.
研究的是辛三代数的幂零性。
And a numerical algorithm for constructing a random symplectic orthogonal matrix is put forward.
给出了一种构造完全随机的正交辛矩阵的数值实现方法。
In this paper, we study the symplectic groupoids structure on the cotangent bundle of Lie group.
本文研究了李群的余切丛上的辛群胚结构。
Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
In this paper, Lie group, Symplectic manifolds, Groupoids are treated as fundamental research subjects.
本文主要以李群、辛流形及群胚等为基本研究对象。
In this paper, we study the application of the momentum mapping to a Possion G-space and symplectic groupoids.
本文研究了矩映射在泊松g -空间及辛群胚中的应用。
The paper introduces the theory and example counting a class of Hamilton equations by symplectic obvions schemes.
本文介绍了用辛显式格式计算一类哈密顿方程的理论及实例。
Therefore, it is necessary to study numerical methods which preserve the symplectic structure of the Hamiltonian system.
因此，研究保持哈密尔顿系统的辛几何结构特征的数值方法是必然的。
However, the usual FDM (finite difference method) schemes disregard the symplectic conservation for conservative systems.
但通常的差分格式并不考虑保辛的性质，即使对保守体系。
Optimal control system of state space is a conservative system, whose approximate method should be symplectic conservation.
状态空间的最优控制体系是保守的，其近似算法应当保辛。
The symplectic conservative perturbation for a transfer symplectic matrix should be based on the canonical transformation method.
辛矩阵只能在乘法群下保辛，故传递辛矩阵的保辛摄动必须采用正则变换的乘法。
This paper has studied some properties of contact manifolds, its symplectification and the contactification of symplectic manifolds.
研究了接触流形的性质，它的辛化以及辛流形的接触化。
The sum of two symplectic matrixes is not symplectic conservation. The product of two symplectic matrixes is symplectic conservation.
两个辛矩阵之和不能保辛，两个辛矩阵的乘积仍是辛矩阵。
Solution on electromagnetic wave propagation in a two-dimensional reflector antenna by Symplectic Geometrical Theory has been gotten.
文中采用辛几何方法得到了二维反射天线上电磁波传播问题的解。
The symplectic geometric algorithm and the Ronge-Kutta algorithm are examined from the viewpoint of the algebraic dynamical algorithm.
从代数动力学算法的观点考察了辛几何算法和龙格-库塔算法的保真问题。
In this paper, we mainly discuss the procedure for computing the rational cohomology of quotients group actions in symplectic geometry.
本文主要讨论辛几何中群作用的商的有理上同调的计算方法。
The FEM displacement method is naturally symplectic conservative, the mixed energy representation is also shown symplectic conservative.
本文指出，有限元位移法自动保辛，有限元混合能表示也保辛。
Moreover, symplectic analysis for electromagnetic waveguides provides the theoretical basis for constructing dual finite element method (FEM).
同时，电磁波导的辛分析也是构造对偶有限元的理论基础。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
Symplectic algorithm is efficient in numerical where conservation and stability are urgely require. This article gives a good overview symplectic algorithm.
说明：保辛算法在守恒性，稳定性要求高的数值计算中及其重要。本文为很好的保辛算法综述。
A new symplectic geometrical high frequency approximation method for solving the propagation of electromagnetic wave in an inhomogeneous medium is presented.
提出了一种基于辛几何的高频近似的新方法，并用此方法求解了电磁波在一非均匀媒质中的传播问题。
The merit of symplectic system can be applied to arbitrary an isotropic material, and also easier for treating interface conditions between different materials.
辛体系可以用于任意的各向异性材料，而且便于处理不同介质的界面条件。
The symplectic preservation of the finite difference scheme is considered, however, the projection operation onto the constraint manifold still brings problems.
虽然已经注意差分的保辛，但沿切面积分再投影，仍带来许多问题。
More importantly, the generalized momenta based Lagrange's equations show unique advantages over the traditional Lagrange's equations in symplectic integrations.
更为重要的是，广义动量表示的拉格朗日方程较之传统形式的拉格朗日方程在辛积分中表现出独特的优越性。
More importantly, the generalized momenta based Lagrange's equations show unique advantages over the traditional Lagrange's equations in symplectic integrations.
更为重要的是，广义动量表示的拉格朗日方程较之传统形式的拉格朗日方程在辛积分中表现出独特的优越性。
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