Stability of solutions of the cavitated bifurcation equation is discussed in each region by using the minimal potential principle, and the catastrophic phenomenon of cavity formation is explained.
并利用最小势能原理讨论了空穴分岔方程的解在各个参数区域内的稳定性，解释了空穴生成的突变现象。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
The rotor bearing system was investigated using the stability and bifurcation theory for nonlinear dynamic system and the database method.
应用精度高、速度快的非线性油膜力数据库方法及非线性动力系统的稳定性和分叉理论对转子-轴承系统进行了分析。
Firstly, the application of bifurcation theory to the analysis of voltage stability is introduced.
首先介绍了分岔理论在电压稳定性分析中的应用。
Finally, the static bifurcation of equilibrium positions and local stability of the structure were discussed.
最后，讨论了该结构平衡点的静态分叉和局部稳定性。
The system parameters of shaker may be optimized by studying of stability and bifurcation of periodic impact motion of shaker.
周期运动的稳定性与分叉研究可以为冲击振动落砂机的动力学优化设计提供理论依据。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
The stability, bifurcation and chaos of a rotor bearing system is analyzed by using the modified short bearing approach.
利用修正的短轴承理论模型对转子-轴承系统进行了稳定性、分岔与混沌特性分析。
In given forcing, the system appears bifurcation and arrives at chaotic state more ea - sier within greater range of stability parameter, when dissipative coefficient is smaller.
对于一定型式的强迫，在较小的耗散参数下，系统在较大的稳定度参数范围内更易出现分叉和达得混沌状态。
The possible methods to unite voltage stability and Angle stability analysis are energy function method and bifurcation analysis method.
分岔分析方法和能量函数方法是统一研究电压稳定和功角稳定的可能方法。
The problem of applying bifurcation theory in influence of reactive power compensation upon voltage stability etc.
分析研究了分叉理论应用于无功补偿对电压稳定性影响等问题。
The analysis indicated that SVC control could delay saddle-node bifurcation point and enhance voltage stability greatly.
研究表明SVC控制可以延迟系统鞍结分岔点，大大提高系统电压稳定性。
This paper discusses the state of Hopf bifurcation in a predator-prey system when parameter varies in some field, and analyzes the stability of the system.
讨论了一类捕食者-食饵系统的参数在某个范围变化时在非零不动点处产生霍普夫分叉的情况，并对其稳定性进行了分析。
Methods the maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
The results show that it is necessary to discuss the structure stability and static bifurcation characteristics of dynamic systems in the design stage of mooring systems.
研究表明，在系泊系统的设计中，考虑其静态分岔特性和系泊系统的结构稳定性是必要的。
In this thesis, using AUTO97, a general continuation and bifurcation software, the problem of voltage stability in power system based on bifurcation theory is studied.
本文以通用分岔分析软件AUTO 97为工具，应用分岔理论，对电力系统电压稳定性问题进行了研究。
The results concerning the existence, the uniqueness and the stability of stationary bifurcation solutions have been obtained by the bifurcation theory and topological degree theory.
应用分歧理论及拓扑度理论的方法，得到了定态分歧解的存在性、唯一性及稳定性。
New formulations are on the basis of the theory of the bifurcation and the Jacobi matrix eigenvalue structure analysis incorporating the margin and state index of the voltage stability.
这个模型以电压稳定分析的特征结构分析法和分岔分析法为理论基础，把电压稳定的裕度指标和状态指标相结合加入了无功优化中。
Then, using the multi-parameter stability theory and unification technique, we solved the reduced equation and obtained the bifurcation equations and their solution.
再利用多参数稳定性理论及归一化技术，对约化方程进行求解，得到了分岔方程。
This paper shows the effects of bifurcation in the slow subsystem and the fast subsystem on structural stability of generalized system.
分析了广义系统中快、慢子系统分岔对系统结构稳定性的影响。
Presently, there is no book with systematic study on bifurcation and stability control of power system in and abroad, especially no special book on power system bifurcation in our country.
目前国内外还没有较系统的研究有关电力系统分岔与稳定控制的书籍，特别是国内尚未见到有关电力系统分岔方面内容的专业书籍。
It applied bifurcation approach of elementary catastrophe theory to find out control parameters' bifurcation values, which decide stability of power systems, further, stability region can be obtained.
它运用初等灾变理论中分岔的概念找出决定电力系统稳定的控制参数的分岔值，从而确定了系统的稳定区域，由稳定区域即可进行系统的稳定判断。
Based on the bifurcation analysis and Catastrophe theory methodology (BACTM), the aircraft global dynamic stability in rapid rolling maneuver is studied in this paper.
本文应用分支和突变理论，研究飞机在状态参数和操纵参数组成的空间内急滚机动全局稳定性。
Bifurcation and stability of asymmetric deformations of equal-biaxial stretching of a thin elastic square sheet was examined within the framework of finite elasticity.
本文应用超弹性材料的有限变形理论分析了在面内等双向拉伸死载荷作用下不可压热超弹性方形薄板发生非对称变形的分岔及其稳定性问题。
Discuss a growth model of Isochrysis galbana, obtain sufficient condition for boundedness, limiting quality, stability and bifurcation.
讨论了一类藻类生长模型，得到了有界性、极限性质、稳定性与产生分支的充分条件。
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
Stability of the curves, namely the balance route of stability and static bifurcation behaviour of the system are discussed.
讨论了解曲线即平衡路径的稳定性及系统的静态分叉特征；
The stability and bifurcation of the fluid film bearing-rotor system with a squeeze film damper are studied using a nonlinear model.
采用非线性模型，研究挤压油膜阻尼器-滑动轴承-转子系统的运动稳定性和分岔特性。
Through the single-dynamic load model dynamic reactive power compensation device can change the original system bifurcation point, increase the load limits and improve the system voltage stability.
通过对单机。动态负荷模型添加无功功率动态补偿装置，可以改变原系统的分岔点，增加了负荷极限，从而提高了系统电压稳定性。
The simplest normal form (SNF) plays an important role in researching into the dynamical characteristic of high co-dimensional system, such as the bifurcation and stability.
最简规范形在分析高余维非线性系统分岔及稳定性等动力学特性方面具有重要的研究价值。
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