This paper analyzes the state of hopf bifurcation in a chaotic system , judge the direction of the bifurcation by calculating the first lyapunov coefficient , and then briefly discuss some corresponding dynamic system behaviors 摘要讨论了一个混沌系统的霍普夫分叉情况，并通过计算系统的第一李雅普诺夫系数判断了其分叉的方向，对相应的动力系统行为也作了简要的分析。
We also select the region of the operating parameter that make the system in excellent station and determine the conditions for the existence of hopf bifurcation . in additional the figures of oscillations and phases are all drawed 通过计算，选取了系统处于较优状态的操作参数的范围，并判定出系统存在hopf分叉的条件，绘制了两个反应器串联时的振荡图形及其相图。
In this paper , we introduce continuous delay into the model and discuss the conditions that decide the existence of hopf bifurcation , hi addition we obtain the figures of oscillations and the phases and describe transition qualitatively 在此基础上，本文引入了连续时滞，给出了系统存在hopf分叉的条件，得出系统的振荡图像及其相图，并对过渡态进行了定性的描述。
The ttc is calculated using a method based on continuation power flow ( cpf ) , and the method is the most availability and reliability of coping with saddle - node bifurcation point in the curve result , which is validated with simulation on some calculation examples 经过算例的分析，连续潮流的计算方法在求解考虑鞍型分叉的电压稳定性约束下的输电能力最为可靠，该方法有效且实用。
The new essential hair oil series contain vitamin milk liquid essential part . it can send moisten hair composition to hair deep layer easily , it is very much the plasma frank to more add by hair quintessence the moist and go scurf factor repairing hair add pure milk . the hair that sent , had hair dyed , blew hair , and dry , branching because of the electricity in maintenance of specially good effect 全新嘉?油精华素系列，蕴含维他命乳液精华，它可将润发成份轻易地输送到发丝深层，特别添加等离子直发精华滋润去屑因子发芯修复因子特别添加纯牛奶，特效修护因电发染发吹发以及干燥分叉的头发。
Firstly mathematic model of the micro cantilever structure is established by elastic mechanics analysis , during which small - displacement and large - displacement are both discussed . also the direct current exiting voltage and alternating current exciting voltage are both discussed . then we investigate the bifurcations of the conditions which have been mentioned above 首先基于弹性力学的方法建立了微悬臂梁的动力学模型,包括微悬臂梁为精确挠度和近似挠度两种系统,以及作用电压为直流和交流的情况,并对各种情况进行了静态分叉的分析。
5 . the micro - crack fracture expansive process of adherence of new and old concrete is analyzed by means of chaos theory . the result shows that the stable extension , bifurcate and unstable extension of original micro - crack fracture is coincidence with model of the stationary state zone , bifurcate zone and chaos zone of double periodic bifurcate theory of chaos 用混沌理论分析了新老混凝土粘结界面断裂损伤微裂缝动态扩展过程，界面层原始微裂缝的稳定、稳定扩展和失稳扩展的动态扩展过程与混炖理论中倍周期分叉的定态区、分叉区和混饨区模型相符合。
Based on the enlarged waveguide y - branch , we introduced the sheared y - branch tir structure . after analyzing the structure parameters of the sheared asymmetrical y - branch , the extinction ratio of the tir optical switch can be more than 40db in theory . by wet erode , we finished photon - induce total internal reflection y branch optical switch with gaas material 在展宽型y分叉的基础上，提出了隔离型非对称y分叉全内反射结构，通过对隔离型非对称y分叉的结构参数的分析，在理论上可以设计出消光比达到40db以上的全内反射型光开光。
The trajectories of their , first sequent , then simultaneous , urinations were dissimilar : bloom s longer , less irruent , in the incomplete form of the bifurcated penultimate alphabetical letter who in his ultimate year at high school 1880 had been capable of attaining the point of greatest altitude against the whole concurrent strength of the institution , 210 scholars : stephen s higher , more sibilant , who in the ultimate hours of the previous day had augmented by diuretic consumption an insistent vesical pressure 他们二人那起初有先有后，继而同时撤出去的尿的轨道并不相似。布卢姆的较长，滋得没那么冲，形状有点像那分叉的倒数第二个字母185 ，却又有所不同。敢情，他念高中最后一年一八八0的时候，曾有本事对抗全校二百十名学生拧成的那股力量，尿撒得比谁都高。
