查询词典 bifurcation

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

The aim of this paper is to demonstrate the use of the open loop control to change the nonlinear system parameters in order to obtain a desired equilibrium bifurcation diagram.

利用开环控制来改变非线性系统的分岔参数，使之获得理想的平衡点分岔图。

In contrast to unconstrained Euler buck1ing there are rich bifurcation points in the process of constrained buckling.

与不受约束的欧拉失稳相比，杆的限制失稳过程具有丰富的分叉点。

Limit induced bifurcation by generator excitation voltage limit was studied, the critical limit was presented and a mechanism of LIB was proposed.

研究由于发电机励磁电压限制导致的极限诱导分岔，发现临界限值的存在并提出一种极限诱导分岔的机理解释。

The main research work involves:(1) Based on first order ODE approximation theory and Hopf bifurcation theory, the nonlinear motion stability of the train is studied emphatically.

2利用模型A和模型B研究了车辆系统的非线性运动稳定性，利用模型E和模型F研究了列车系统的非线性运动稳定性。

Mainly by means of the Hopf bifurcation theorem and the cone fixed point theorem in the functional differential equations.

本文对非线性项为两种形式的时滞Van der Pol方程分别加以比较，利用Hopf分支理论和锥不动点定理，得到相应方程在周期解和Hopf分支方面上的差异。

This bifurcation can lead to a catastrophic change that may be one mechanism of flashover in the compartment fire.

结果表明，在所建立的室内火灾模型中，系统存在鞍—结分岔结构。

In this paper, the resonances of parametric vibration with forced vibration is analyzed and the bifurcation equation of the system is obtained and the singularity analysis is made.

分析了水轮发电机定子系统的参、强联合共振，求得了稳态响应的分岔方程，进行了奇异性分析，揭示了一些新的规律和现象。

This study shows that a forked bifurcation exists in the simplified nonlinear dynamic model.

研究表明，受压细长杆的非线性动力学模型中存在叉形分岔。

Chaotic behaviors of integral and fractional order double Mackey-Glass time delay systems are studied by phase portraits and bifurcation diagrams.

本篇论文以相图及分歧图等数值方法来研究双Mackey-Glass系统的整数阶与分数阶的浑沌行为。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。