The existence of a limit cycle was proved.
证明了极限环和周期解的存在性。
Both single and double stable limit cycle flutter states are found.
风洞吹风中测出了单稳定极限环、双稳定极限环颤振的情况。
It is not satisfied general condition for existence of a stable limit cycle.
给出了其极限环存在性、唯一性以及稳定性的证明。
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。
The calculation method of finding the limit cycle suppression time is proposed also and the calculation results are co...
本文还提出了一种求极限环平均抑制时间的计算方法，计算结果与实验数据相符。
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。
Almost all of scholars only studied the possible appearance or disappearance of a limit cycle surrounding a singular Point.
几乎所有的学者只针对极限环内含奇点的情况，讨论了极限环的存在性、唯一性、稳定性以及如何产生与消失。
The calculation method of finding the limit cycle suppression time is proposed also and the calculation results are consiste…
本文还提出了一种求极限环平均抑制时间的计算方法，计算结果与实验数据相符。
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。
The experimental results show that the direct compensation can eliminate the limit cycle, and improve the precision of the system combine precision compensation.
实验结果证明，直接补偿算法能消除极限环，直接补偿算法配合精度补偿可以消除间隙非线性引起的极限环并提高系统精度。
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。
Lack, however, suggested that clutch size—the number of eggs a bird lays per breeding cycle—is far below the potential limit of egg production.
然而，缺乏情况表明卵的大小——每一个繁殖周期下的蛋的数量——远低于产蛋的潜在限制。
Created by GBO Design, the Di-Cycle is far bulkier than traditional bicycles – which would seem to limit its application – but does offer an intriguing solution to amphibious travel.
它是由GBO设计的，这种看起来很笨重的设计看似会限制它的使用范围，不过在有两栖交通环境里，他能充分发挥它的光与热。
Washables can have a lower carbon footprint, but only if you have an energy-efficient washing machine, use a 60-degree wash cycle, limit yourself to 24 nappies, and don't tumble dry or iron them.
只有在你有一个高能效的洗衣机，使用60度洗衣周期，限制在24片尿布以内，不要甩水和熨干的情况下，可洗尿布的碳足迹才会相对比较低。
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