查询词典 bifurcation point

The dynamic bifurcation characteristics of single point mooring systems under the action of tidal current is investigated.

研究了潮流作用下单点系泊船舶的动态分岔特性。

Experimental study on the Hopf bifurcation characteristic of single point mooring vessels is presented.

对单点系泊船舶的Hopf分岔现象进行了试验研究。

Secondly, from the angle of the nonlinear dynamics, the existence and convergence of fixed point and the bifurcation and chaos during the iterative turbo decoding process are discussed.

其次，基于非线性动力学的角度，研究了Turbo码迭代译码过程中不动点的存在性和收敛性。

In the paper, the stability of the static states of the system was discussed theoretically and the control parameter was determined nearby the point of Neimark-Sacker bifurcation.

首先利用理论分析了一个二维离散超混沌系统的不动点的稳定性，以此得到系统发生Neimark-Sacker分岔时参数α的近似值。

The two-parameter unfoldings of local dynamical behavior,near the point of Hopf-Hopf bifurcation, is investigated theoretically.

理论分析了四维范式映射在Hopf-Hopf余维二分岔点附近的参数开折。

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。

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。

The joint effect of active and reactive power on the voltage stability of a typical power system was considered by analysing the two parameter bifurcation problem related to nonlinear oscillation phenomena. Numerically, as the active power P1 increases, the Hopf points get closer and eventually coincide at P1=1.455 43 the cyclic fold curve gets closer and closer to the Hopf curve and finally intersects the Hopf curve at a singular point the period-doubling points also get closer and finally coincide at P1≈0.65. The stability behaviour is pre-determined using the normal form approach near the limit point of the Hopf curve. Hence, in the power system attention should be paid to both the consumption of active power and the decrease in the reactive power to prevent nonlinear oscillations. A controller can be designed to absorb some active power and to avoid the nonlinear oscillations that damage the system components.

针对一个典型的单机无穷大电力系统，通过分析系统的双参数分岔的非线性振荡现象，综合考虑有功和无功功率对电压稳定性的影响数值分析表明，随着有功功率的增加，电力系统的Hopf点越来越靠近，最终合为一点在P1=1.455 43处同时圈折cyclic fold 曲线也越来越靠近Hopf曲线，并在Hopf曲线的稳定与不稳定临界点处与Hopf曲线相交倍周期分岔点也随着越来越靠近，最终在P1≈0.65 合为一点应用正规形理论方法，初步确定了Hopf曲线极限点附近的稳定性态因而，电力系统应注意让负荷利用有功功率，减少无功功率的产生以防止非线性振荡另外，可以设计一个稍微吸收网络的有功功率的控制器，以避免因周期振荡而造成电力系统仪器的损坏或电压崩溃

The kernel of the problems stressed are the two: the link path of saddle point to saddle point on the topological structure is instable, so it will break easily with the changing of main control coefficient, and nonlinear bifurcation of the vortex structure along the vortex axis line.

强调了不稳定拓扑结构中的鞍—鞍连接轨线随主控参数变化而"撕裂"、以及旋涡沿轴线的非线性分叉是非对称形成与多涡系演化的途径。

Also the normal form and thediagram of the Hopf bifurcation are deduced with the normal form direct method.Secondly, the influences of the physical and aerodynamic parameter on the type of theHopf bifurcation are analyzed. Study shows that the "hard" structural non-linearitiesand the longer distance of the suspension point and the center of mass render theairfoil safer, whereas the "soft" ones render the airfoil more unsafe.

同样应用规范型直接法，研究得出系统颤振的Hopf分岔解的规范型以及分岔图；其次，研究了系统结构和气动参数对Hopf分岔类型的影响，结果表明，表明具有&硬&弹簧性质的结构及增大悬挂点与质心的距离都有助于提高安全性，而应该避免应用&软&弹簧性质的结构。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失