稳定性

At the same time, some factors such as cohesive strength, internal friction angle, slope angle of slide plane, groundwater level and earthquake intensity are analyzed. Different sensitive degrees with assurance factor are obtained. The mathematical models are simulated for them. It supplies the theoretical basis for how to confirm stability of part of slope. This will offer some guidance for the practical engineering.

同时，通过研究粘聚力、内摩擦角、滑动面倾角、地下水位及地震烈度等影响因素对边坡安全系数的敏感性程度，得到了该边坡工程的主要影响因素，并通过岩体粘聚力、内摩擦角及地震烈度与边坡稳定性系数的关系曲线分别模拟出了它们的数学模型，对确定边坡某一具体位置的稳定性程度提供了理论基础，具有一定的实际指导意义。

In this paper, the boundedness and stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function.

本文利用Liapunov函数方法，研究了一类四阶非线性微分方程解的稳定性及有界性，得出了解的有界性及稳定性存在的充分条件。

Usually, the construction of the Liapunov function and some related theorems of stable theory of ODE are used in the problem.

在常微分方程的定性理论中，研究一个系统的全局渐近稳定性是一项困难且有意义的课题，通常采用构造Liapunov函数并利用稳定性理论中的有关定理来解这一难题。

In order to study the stability of longitudinal following control system of vehicle in automated highway system,the following errors of vehicles were analyzed,a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed,and the stability of the system was studied by applying vector Liapunov function .

为了提高自动化高速公路车辆纵向跟随控制系统的稳定性，建立了关于车辆跟随误差的具有时间滞后的无限维非线性关联大系统模型，应用向量李雅普诺夫函数对大系统的稳定性进行了分析。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后，我们研究了n种群随机Lotka-Volterra生态模型，利用混合单调流理论和It〓型随机微分方程知识，得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

In Chapter Two, Liapunov functional method and Liapunov function method with Razumikhin techniques are employed to obtain some delay independent stability results for the Cohen-Grossberg neural networks with multiply delays.

在第三章中，我们首先对一般的无时滞Cohen-Grossber神经网络模型建立了几个稳定性定理，即文中定理3.3.1-3.3.4。从其中推论可看出负的自联接起着很大的稳定化网络的作用。然后我们考虑了一般的Hopfiel神经网络模型，运用单调动力系统理论，在对激发函数做出很弱的假定下获得了与时滞相关的稳定性结果，并对时滞的大小给出很多的估计，文中定理3.4.3。

The critical value of Hopf bifurcation was calculated, and the stability of the limit cycle was discussed. The bifurcation diagram of the system was obtained by the fourth order Runge-Kutta method.

定性分析了系统定态的存在性和稳定性，讨论了系统的Hopf分岔，得到了系统的Hopf分岔参数值，并判断了极限环的稳定性。

However, the spinel LiMn〓O〓 and olivine LiFePO〓 are very hopeful material with low price and few toxic and higher specific capacity, etc.

本文从降低锂离子电池的生产成本和提高材料的稳定性出发，主要研究尖晶石LiMn〓O〓和橄榄石LiFePO〓的合成制备方法，以及掺杂提高电池材料的稳定性等问题。

Based on the stability theory of fractional-order linear system,stability of the proposed method is analysed.

基于分数阶线性系统的稳定性理论，分析了该方法的稳定性。

These applications call for higher requirements of the laser frequency stabilization, narrow linewidth, phase stabilization and other properties.

这些应用对于激光器的频率稳定性，线宽，位相稳定性等性能提出了更高的要求。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。