查询词典 perturbation method

The most common and most widely studied methods of all analytical approximation methods for nonlinear differential equations are the perturbation methods.

非线性振动由于其振动方程的特点，到现在还没有通用的解析求解方法，只能根据系统的特点采用一些特殊的方法来求解。

In chapter three, the dynamics of a driven spin-boson model is studied by means of the perturbation approach based on an unitary transformation. Analytical expressions for the population difference and the coherence of the two state system are obtained.

在第三章中，采用基于幺正变换的微扰方法，我们研究了驱动spin-boson模型的动力学，得到了在微波驱动下二能级系统的粒子数反转和相干性的解析表达式。

Expanding the unknown function in a small perturbation parameter and using a successive expansion in a Taylor series for the water particle path and the period of a particle motion, the third order asymptotic expressions for the Lagrangian particle trajectories and the period of particle motion can be derived directly in Lagrangian form.

藉由一系列连续的Taylor级数展开，於考量波动场中各流体质点之运动轨迹与运动周期下，将已知的Eulerian解转换成完全未知的Lagrangian形式解。

An asymptotic series solution is constructed by the perturbation technique of deflection type for buckling and postbuckling behaviors of the cylindrical shells under external pressure.

考虑到边界效应对中短圆柱壳的影响及边值问题摄动解的一致性，详细研究了该圆柱壳端部边界层方程和奇异摄动解，以便与中部正则摄动解相匹配。

An asymptotic series solution is constructed by the perturbation technique of deflection type for postbuckling behavior of the plates with four simply supported edges in biaxial compression.

基於Reissner剪切板理论和Karman型板的精化理论，导出了反对称斜交铺层剪切矩形板的广义Karman大挠度方程，并运用位移型摄动技术，构造出双向压缩四边简支矩形板的后屈曲渐近级数解。

The diffusion equation and viscoelastic stress model were coupled. We obtained an asymptotic solution by the perturbation theory.

在这一部分中我们采用了将扩散与粘弹性相结合的方程来刻画溶剂在玻璃态高分子材料中的移动。

Initial random imperfections of composite panels are assumed to be Gaussian random fields and simulated numerically from their mean and autocovariance functions. Lindstedt-Poincare's perturbation technique is employed to solve the resulting nonlinear equation in the vibration analysis of imperfect composite panels. Monte Carlo analyses are performed for detailed numerical calculations.

层板之随机性几何缺陷以高斯随机场来描述，并利用其平均值函数及自方差函数来做数值的模拟；以Lindstedt-Poincare微扰方法来处理缺陷复合层板之非线性运动方程式，并使用蒙地卡罗法来做详细的数值分析。

In the second part, the yan jingxiang shuangtongliang model for radiation and the linear time perturbation theory are used in this paper, and the helical magnetic instability is analysed in an axial magnetic field.

第二部分：采用沿径向双通量辐射模型和与时间有关的线性微扰理论，讨论了在轴向磁场中影响电弧螺旋不稳定性的一些因素。

The uncertainty is assumed to be unknown continuous function with norm-bounded restriction. The perturbation is sector-bounded.

系统的不确定性是范数有界的未知连续函数，外部干扰是扇形有界的。

By local bifurcation theory and perturbation theory,the existence of local bifurcating solution and its stability are obtained.

研究了一类带简化的Mound-Haldane反应项的捕食-食铒模型的局部共存解存在性及其稳定性，运用局部分歧理论及特征值扰动理论，得到了该模型的局部分歧解存在的充分条件及其解的稳定性。

Smoking cigarettes adds to the Computer Desk Computer manufacturer computer mouse Computer Computerized collar knitter machine Conduit Bodies construction board Container Bag Control Arm Cooking Thermometer general levels of air pollution as well as damaging our health.

吸烟不仅对健康有害，而且增加空气污染程度。香烟雾含有多种有害物质：不仅有致癌化学物质、有某种能阻止氧气进入血液的气体，还有引起血压增高、心速加快的被称为尼古丁的物质。

He is one of my favorite actors.

他是我最喜欢的男演员之一。