查询词典 bifurcation

First of all, the method of Fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback. The bifurcation direction and the stability of the bifurcating periodic solution are also determined.

首先，用Fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的Hopf分叉，得到了局部分叉周期解的近似表达式，确定了分叉解的分叉方向及稳定性。

Based on rubbing model of a two-disk rotor-stator system with consideration of both rotor and stator dynamics,a numerical integration program is applied to numerical simulation and analysis of the nonlinear dynamics of this system,such as bifurcation,Poincare section map,trajectory of axes,phase trajectory,frequency spectrum diagram and time response.

基于一新型径向-轴向复合碰摩双盘转子-机匣力学模型，利用数值积分和Poincare映射方法，对转子-机匣系统由于径向-轴向碰摩故障导致的非线性动力学行为进行了数值仿真研究，给出了系统响应随转速和偏心量变化的分岔图和一些典型的Poincare截面图、相轨图、轴心轨迹、幅值谱图和时域响应等。

Regarding iterated processes as objective function,parameters of algebra iterated system as design variables,and boundary condition of iterated variables as constrains,a new optimum method was proposed,which was used to calculate bifurcation of Logistic mapping.

以迭代过程关系构成目标函数，参数为设计变量，迭代变量的边界为约束，建立关于分支值计算的新方法含约束条件的最优化程序算法。

In this paper,the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to investigate the existence of the solitary peakon solution to a generalized Boussinesq equation .

利用微分方程定性理论和动力系统分支方法，对一类广义Boussinesq方程的孤立尖波解的存在性进行了研究。

In Chapter 5, we mainly discuss the golbal bifurcation of the steady state problem for the strongly coupled competitor-competitor-mutualist model under zero boundary conditions.

因此，较强的扩散或交错扩散对系统生成稳态模式起着促进作用。

State transfer was modeled by homogeneous Markov chain ifevery traditional bifurcation region was regarded as a state.

将传统动力学每一个分岔区域看成动力系统的一个状态，建立状态转移的齐次马尔科夫链模型。

In this thesis,the voltage stability boundary is the combined boundary which correspond to Saddle-node bifurcations and Hopf bifurcations.The closest Hopf bifurcation point is found through the proposed iterative method under the assumption that the Hopf hypersurface is continuous and convex.

因此在本论文中，在多维参数空间下，将稳定边界推广到鞍点和Hopf分岔点构成的混合稳定边界，探索性寻求Hopf分岔超平面的法向量，采用迭代算法求取系统发生最近振荡型电压失稳的负荷增长方式。

The flow of incompressible viscous fluid is controlled by Navier-Stokes Equations.The qualititave analysis of the solutions of the equation is important to the studies of bifurcation problems and numerical solutions of the equations.

对于描述不可压缩粘性流体流动的Navier-Stokes方程，其解的定性分析结果对于该方程的数值求解及其分歧问题的研究都是十分重要的。

This project studies the problems of stabilization and tracking of nonlinear systems, Bifurcation control of nonlinear systems, and analysis and control of infinite dimensional systems and so on. Seventeen papers were completed; A Science and Technology Award of Zhejiang Province, First Grade, was got.

本项目研究了非线性系统的镇定、跟踪、分歧控制和无穷维线系的分析与控制等问题，完成17篇论文，获浙江省科学技术奖一等奖一项。

This thesis is devoted to singular point quantities and integrability conditions of complex polynomial differential systems with resonant singular point, and center-focus determination and bifurcation of limit cycles of planar polynomial differential systems.

在第二章中，对具p∶-q共振奇点的复自治多项式微分系统引入广义奇点量的概念，它是文[103]中奇点量概念的推广，它以在实平面多项式微分系统的中心焦点判断与极限环分支中有着极为重要意义的焦点量和鞍点量作为特例。

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。