利用中心流形约化方法证明了霍普夫分歧解的稳定性。
By using the method of centre manifold, the stability of the Hopf bifurcations is also proven.
对于标量粒子，其质量的获得则主要通过推广的平群约化方法。
And the mass for scalar particles is mainly given by generalized reduction on trivial group.
这些约化方法在其可应用的系统类型上有一定的局限性，比如其不能应用于不 完整 约束系统等。
There are restrictions on what type of systems these techniques can be applied to, e. g. , these reduction techniques do not apply to systems that are nonholonomically constrained.
本文第二章介绍了无穷维动力系统的惯性流形与近似惯性流形的约化思想，并讨论了KS方程的直接约化方法。
In this paper, the second chapter introduces the reducing idea of inertial manifolds and approximate inertial manifolds, and discuss the similarity reduction of KS equation.
针对针织纹织提花、印染以及陶瓷印花等图案设计系统的需求，提出了一种新型的基于直方图约化方法的自动分割图像颜色的算法。
Based on the CAD of knitting, flocking, printing and dyeing, etc, an algorithm of automatic image color quantization is presented by grinding technique based on histogram.
通过广义条件对称方法得到了其对称约化和精确解。
Its symmetry reduction and exact solutions are obtained through the generalized conditional symmetry approach.
引入空间群消光规律，用计算机模拟电子衍射图，提出选取约化四边形的新方法。
Adopting the space-group extinction rule and simulating the electron diffraction pattern with computer, this paper proposed a new method for selecting the reduced quadrangle.
本文应用多重尺度约化微扰方法研究了充满流体的圆形弹性管壁上应力波的弱非线性调制问题。
The reductive perturbation method of multiple-scales is used to investigate the weak nonlinear modulation of the stress wave on the wall of a fluid-filled elastic circular tube.
本文利用约化摄动重整化方法研究了光纤零色散波长点附近光孤子传输的特征。
Propagation feature of optical soliton near the zero-dispersion wavelength point is researched by using Reductive Perturbation Method (RPM) and Renormalization Method in this paper.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。
The master equations of a reduced system density operator , by means of the Liouville equation and the projection operators techniques have been derived.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
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