该模型的动态特性可由对偶微分方程描述，它具有从状态空间内任一初始点找出多个稳定平衡点的能力。
The dynamical property of this model is described by dual differential equations and it can find out several stable equilibrium points from any initial point in the state space.
在研究具有特定拓扑结构电路的冲击响应时，其动态方程中会出现对偶冲击函数。
When impulse response with a specific circuit topology is studied, the duality impact arises in dynamic equation.
文中着重介绍了当对偶规划问题数学模型出现重复方程时，可通过重构原规划问题的方法，求得问题的最优解。
Emphasis is given to that when repeated equations appear in the mathematical model of the duality programming problem, global optimized solution can be obtained by reconstructing the original program.
首先利用付里叶变换，使问题的求解转换成对一对变量为裂纹面上位移差的对偶积分方程的求解。
By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.
借鉴成熟的姿态四元数积分的双速算法结构，设计了一个数值积分算法求解以上三个运动学方程，构建了基于对偶四元数的捷联惯性导航算法。
Borrowing the traditional two-speed approach originally developed in conventional attitude integration, we design one new numerical integration algorithm to solve the three kinematic equations.
本文证明任意阶次磁多极子场力线方程总可以用有限形式解析地表示，并对偶极族和四极族磁多极子场力线的位形给予注记。
In this paper it is pointed out that the equation of field lines of a magnetic multipole with any order and degree can always be analytically expressed in term of finite form.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
A to be determined coefficient method for finding dual operators of hierarchies of non-linear evolution equations is proposed.
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
引入对偶变量，进一步建立使问题化为在以混合变量组成的全状态辛空间中的控制正则方程和初边条件。
By introducing dual variables, the dual governing equations and boundary conditions, which are composed by mixed variables under whole state space, are obtained.
而原始-对偶内点法完全可以很好地解决由于发电机转子运动方程的引入带来的大量约束问题，具有极好的收敛特性。
The primal-dual interior point method can solve effectively the problem with a lot of constraints resulting from the motion equations of the generator rotors with the result of perfect convergence.
由于在系统的输出方程中引入控制项，从而使相应的对偶模型的经济内涵更为深刻。
That is, a control vector is drawn into the output equation of the system.
考虑到混合边界值条件下，对偶积分方程的刚性扭转振动建立了横观各向同性饱和地基上圆板的休息。
Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established.
考虑基于外心对偶剖分的椭圆型与抛物型方程的有限体积元法。
We considered the finite volume element methods (FVM) based on circumcenter dual subdivision for the elliptic equations and parabolic equations.
根据弹性薄板自由振动问题的基本方程，把问题引入到哈密顿对偶体系中。
Based on the basic equations of free vibration of thin plate, the Hamilton canonical equations were obtained.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
This paper deals with the dual Toeplitz operators on the orthogonal complement of the Fock space.
提出一个建立在基尔霍夫定则及其对偶定则基础之上的线性电路解法，只需对网络图的结构进行分析，不需列写任何电路方程式。
A solution of linear circuit based on Kirchhoff"s rule and its dual rule is presented. By means of this solution, analysis are required to the structure of graph, no any circuit equations are needed."
提出一个建立在基尔霍夫定则及其对偶定则基础之上的线性电路解法，只需对网络图的结构进行分析，不需列写任何电路方程式。
A solution of linear circuit based on Kirchhoff"s rule and its dual rule is presented. By means of this solution, analysis are required to the structure of graph, no any circuit equations are needed."
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