查询词典 bifurcation

In the study of the recognition of bifurcation broblems, Gaffney establishes D -equivalence theory by introducing unipotent algebraic group and nilpotent Lie algebras.

借助于奇点理论中的一个基本概念，这一问题常常可以转化为有限维的情形来处理。

A modern analytic method of nonlinear dynamics, the Hopf bifurcation theory, is used to study the stability of S.

运用非线性动力学现代分析方法Hopf分岔理论，研究了全混釜内酵母培养系统的稳定性问题，得出其Hopf分岔范式，给出了振荡存在的区间、临界点处的周期及解析解，并考察了周期解及定常解的稳定性。

Stability and the approximate bifurcation periodic solution of a class of general Logistic model with time delay are discussed.

讨论了具有时滞的广义Logistic模型分支周期解的存在性、稳定性及近似分支周期解。

Based on first order ODE approximation theory and Hopf bifurcation theory, the nonlinear motion stability of the train is studied emphatically.

基于常微分方程的一次近似理论和Hopf分叉理论，重点研究了列车系统的非线性运动稳定性。

If in the winter, crural bifurcation must be sent to crack by aspic constantly bleed.

若是冬天，脚丫时常被冻得发裂流血。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

Then the delay is used in circadian model. Using the delay as a argument, the distribution of the roots of the characteristic equation associated with the model under light is analyzed. Then the stable and Hopf bifurcation condition of the circadian model with delay is obtained.

然后，将时滞引入到昼夜节律系统模型后，以滞量为参数，讨论光照昼夜节律模型线性部分特征方程根的分布情况，得到该系统的稳定性和Hopf分支产生的条件。

In the paper,we investigate the asymptotic behavior of three ecological models and the Hopf bifurcation for a class of Logistic model with time delays.

本文共分四个部分研究了三类生态模型解的渐近性和一类时滞Logistic模型的Hopf-分支问题。

The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。