A concrete example is discussed and the accurate location of each limit cycle is displayed.
获得了一个具体例子中每一个极限环的确切位置。
Finally the existence of the limit cycle is obtained by using the stability theory of the weak focus.
最后根据细焦点的稳定性判断出极限环的存在性。
The sufficient condition for the existence of limit cycle is proved using the Pioncare-Bendixson theory.
运用庞卡莱—班狄克逊环域理论，得到了极限环存在的充分条件；
The conditions were given to ensure the system has stable limit cycle and unstable limit cycle, respectively.
给出了系统分别存在稳定极限环和不稳定极限环的条件。
Analyzes singular points of prey-predator system and proves that the system hasn't limit cycle on whole plane surface.
对一类生物系统的奇点进行分析，并证明在整个平面上该系统不存在极限环。
In the case of hydraulic actuator the insensitive area of servovalve is the main cause for the phenomena "limit cycle".
指出在采用液压舵机的情况下，伺服阀的不灵敏区是出现极限环现象的一个主要原因。
It is found that the frequency creep caused by superradiance usually results in this kind of limit cycle like oscillations.
分析表明这种类极限环振荡主要起因于超辐射引起的频率蠕变。
In this paper, we studied the existence and uniqueness of limit cycle or the predator-prey system (l), and obtained theorems 1, 2, 3.
本文研究捕食—食饵系统(1)极限环的存在唯一性，得到了文中的定理1、2、3。
The first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
第一个是关于如何通过极限环分析建立描述函数法与相平面法之间联系；
This paper presented an analytical method with more accuracy than before considering the fundamental arid the third harmonic in limit cycle.
提出了比较精确的计及极限环基阶谐波与三阶谐波的分析计算方法。
The stability conditions and the existing conditions of limit cycle of AR-type nonlinear time series models are given. Some special models are discussed.
为此给出了AR型非线性时间序列模型的稳定性条件及极限环存在条件，并对一些特殊模型进行了讨论。
It shows that under some constraints all system trajectories will eventually enter and remain in a specific region, and tend to the considered limit cycle.
结果表明，在某些约束条件下，所有系统轨迹最终进入并停留在某一特定区域，而且趋于极限环。
Moreover, a formula for calculating double limit cycle bifurcation is derived. Finally, the complete bifurcation diagrams and phase portraits are obtained.
给出了完整的分支图和各区域上的相轨线结构。结果表明，非对称项引起二重极限环分支和分支曲线的复杂性。
To compensate for this effect, a method is proposed in which velocity feedback signal is added to the original controller to reduce the limit cycle amplitude.
为补偿间隙的影响，本文提出了在不改变原有的控制器基础上，通过引入速度反馈而减小间隙极限环的方法。
The phenomena "limit cycle" occurred in wind tunnel test for active flutter suppression of a wing model are numerically explained using Harmonic Balance Method.
本文采用谐波平衡法，定量地解释了机翼颤振主动抑制风洞试验中出现的极限环现象。
By using the qualitative methods of ODE, the positive equilibrium's global stability and existence and uniqueness of non-small amplitude stable limit cycle were obtained.
应用常微分方程定性方法，得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件。
Both theoretical and experimental analyses are performed to investigate the limit cycle flutter bifurcation of a sweepback wing with an external store in the tip of the wing.
从理论及实验两方面，研究了带外挂后掠机翼的极限环颤振分叉现象，得到了稳定、半稳定及不稳定极限环。
This paper presents an approximate analytic method which determines the characteristics of aircraft lateral-directional limit cycle oscillation induced by aerodynamic hysteresis.
本文给出近似解析公式，确定空气动力迟滞引起的飞机横航向极限环振荡特性。
In other words, the unstable limit cycle will be bifurcated from the original asymptotical stable equilibrium point at another higher series compensation level, and the system dynamics will change.
换句话说，在另一较高的串联补偿度上，轨道不稳定的极限环将从原来渐近稳定平衡点上分岔出来，系统的稳定性态将被改变。
Moreover, for a fixed speed, the upper and lower amplitudes of the wing-store system with uncertainty are obtained and the influence of the uncertainty is cognized on the limit cycle phase pictures.
进而可以得到一定来流速度下，具有不确定机翼外挂系统幅值的上下界，以及不确定参数对极限环相图的影响。
Moreover, for a fixed speed, the upper and lower amplitudes of the wing-store system with uncertainty are obtained and the influence of the uncertainty is cognized on the limit cycle phase pictures.
进而可以得到一定来流速度下，具有不确定机翼外挂系统幅值的上下界，以及不确定参数对极限环相图的影响。
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