主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
利用李雅普·诺夫泛函研究中立型泛函微分方程的概周期解的存在性，其中李雅普·诺夫泛函不是正定的。
We investigate the existence of almost periodic solutions of functional differential equations of neutral type by Liapunov functional which is not positive definite.
通过力学分析，建立了离心调速器系统的动力学方程，应用李雅普·诺夫直接方法得到该系统稳定平衡点的条件。
By using mechanical analysis, the dynamic equation of the system was established, the Lyapunov direct method was applied to obtain stability conditions of system equilibrium points.
用矢量李雅普诺夫函数解决大系统的稳定性问题必须要判断矢量比较方程的稳定性。
On the stability analysis of large-scale systems by Lyapunov functions, it is necessary to determine the stability of vector comparison equations.
首先，提出了求解一般动力学方程的李级数方法，并给出具体实施办法，它是泰勒展开方法的一个推广。
Firstly, Lie series method to solve general nonlinear dynamic system is presented, and the implementation method is given in detail. It is an expansion of the Talor series method.
多年来众多的学者提出多种不同的广义李亚普诺夫方程，用来研究奇异系统的稳定性。
For many years, numerous scholars have proposed many kinds of generalized Lyapunuv equation to study stability of singular system.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
根据导弹与目标之间的相对运动方程，应用李雅普·诺夫稳定性理论设计一种新的导弹航向平面导引律。
According to the dynamic equation of relative motion between the missile and the target, Lyapunov stability theory is used to design a new yaw plane guidance law for missiles.
本文提出一种新的广义李亚普诺夫方程，用于判定离散时间奇异系统的稳定性。
This paper puts forward a kind of new generalized Lyapunuv equation, which is used to study the stability of discrete singular system.
基于李亚普诺夫方程的状态反馈增益算法是极点配置算法中比较常见的一种。
Lyapunov Equation based algorithm for calculating state feedback gain is a comparatively normal algorithm used in pole assignment.
首先根据由误差四元数和误差角速度描述的跟踪误差动力学和运动学方程，设计了基于李亚普诺夫方法的滑模变结构控制律。
First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error, a sliding mode controller is derived based on Lyapunov theory.
根据相迹方程和李亚普诺夫直接法提出了在大扰动下控制静止补偿器的开关线。
On the basis of the trajectory on the phase plane and Lyapunov' s direct method, switching line is introduced for controlling static compensator under large disturbance.
通过对李亚普诺夫方程的讨论来实现对控制系统的稳定性分析和综合，是处理系统稳定性问题的一个重要方法。
It is a fundamental technique for stability study to analysis and synthesize system stability by considering the Lyapunov equation.
伍时桂和李兆治所建设的非线性波传播方程组是做了某些数学简化和变换。
This paper deals with methods of numerical solutions for problems of nonlinear wave propagations in arteries.
非古典对称方法在经典的李对称方法的基础上添加了初始方程的表面不变条件，从而既简化了计算，又有助于得到更多的对称及群不变解。
Compared with the classical Lie method, it adds an invariant surface condition in the formation. Consequently, it makes calculation easy and obtains more group-invariant solutions.
丁同仁，李承治。常微分方程(第二版).北京。2002。
Din Tong-Ren, Li Cheng-Zhi. Ordinary differential equations (second edition). Beijing. 2002.
本文基于李雅普·诺夫运动稳定性理论，导出了弹丸动态稳定性条件的通式，并着重讨论了弹丸扰动方程采用“冻结”系数法的适用范围与其判据。
Based on Liapunow's theory of stability, the general conditions about the dynamic stability of a projectile is deduced and the applicable region for the frozen-coeff...
本文基于李雅普·诺夫运动稳定性理论，导出了弹丸动态稳定性条件的通式，并着重讨论了弹丸扰动方程采用“冻结”系数法的适用范围与其判据。
Based on Liapunow's theory of stability, the general conditions about the dynamic stability of a projectile is deduced and the applicable region for the frozen-coeff...
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