证明了极限环和周期解的存在性。
获得了一个具体例子中每一个极限环的确切位置。
A concrete example is discussed and the accurate location of each limit cycle is displayed.
讨论了一个一般的微生物生长模型的极限环问题。
A general microbial growth model is discussed in this paper.
最后根据细焦点的稳定性判断出极限环的存在性。
Finally the existence of the limit cycle is obtained by using the stability theory of the weak focus.
本文研究一类生化系统的极限环的存在性与唯一性；
The existence and uniqueness of limit cycles of a biochemical system is proved.
研究了分散继电反馈系统极限环的全局稳定性问题。
The global stability problem of limit cycles for decentralized relay feedback systems is studied.
给出了系统分别存在稳定极限环和不稳定极限环的条件。
The conditions were given to ensure the system has stable limit cycle and unstable limit cycle, respectively.
本文主要研究了模糊双向联想记忆网络的最大极限环长度。
The maximum length of limit cycles for fuzzy bidirectional associative memories ( FBAM ) is studied in this paper.
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。
Both single and double stable limit cycle flutter states are found.
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。
It is found that the frequency creep caused by superradiance usually results in this kind of limit cycle like oscillations.
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 sufficient condition for the existence of limit cycle is proved using the Pioncare-Bendixson theory.
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。
This paper presented an analytical method with more accuracy than before considering the fundamental arid the third harmonic in limit cycle.
证明了周期解的存在条件，并估计了有关极限环的周长和相对位置。
The conditions for the existence of periodical solutions, and the estimation of the perimeter and relative position of the limit cycles are obtained.
本文研究了一类三次系统无穷远点的中心条件与赤道极限环分枝问题。
Studied in this paper are center conditions and bifurcation of limit cycles from the equator for a class of cubic polynomial system.
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；
The first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
在此基础上，利用微分方程的环域定理获得了所述系统存在极限环的条件。
Then by using Poincare-Bendixson theorem sufficient conditions for the existence of limit cycles are obtained.
采用摄动-增量法研究电机工程中一类强非线性振子的极限环和同宿轨线。
Investigates a class of strongly nonlinear oscillators in electrical engineering by using the perturbation incremental method.
给出了当系统的奇点在破坏点的小邻域时鸭解和鸭极限环存在的充分条件。
Some sufficient conditions are given to support the existence of duck solutions and duck cycles when the singular points of the system are in the small neighbourhood of turning points.
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。
Analyzes singular points of prey-predator system and proves that the system hasn't limit cycle on whole plane surface.
然后用相平面法分析滑块的运动规律，并确定爬行运动的相轨迹——极限环。
Then the slider motion is analyzed by the state-plane method. A limit circle which can describe the path of the creeping motion is found out.
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。
This paper presents an approximate analytic method which determines the characteristics of aircraft lateral-directional limit cycle oscillation induced by aerodynamic hysteresis.
采用简化的方法确定锁相回路的极限环频率极限，推导出捕捉带的一般表达式；
The simplified method has been adopted to confirm the limit frequency of limit circle of phase-lock control loop. The general expression of the capture band has been derived.
本文根据极限环特性对单舍入量化器二阶数字滤波器的零输入稳定性进行了分析。
In this paper the zero-input stability of second-order digital filters with a rounding quantizer has been analyzed by the properties of limit cycles.
本文简要介绍了总体评价法在研究非线性控制系统极限环振荡方面的理论和应用。
In this paper, the theory and application of the Method of General Estimation on the study of the continuous oscillation of nonlinear control system has been introduced in brief.
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。
In the case of hydraulic actuator the insensitive area of servovalve is the main cause for the phenomena "limit cycle".
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 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。
In this paper, we studied the existence and uniqueness of limit cycle or the predator-prey system (l), and obtained theorems 1, 2, 3.
采用定性分析的方法，讨论了某类三分子饱和反应系统的极限环存在和不存在的条件。
This paper is devoted to the qualitative analysis of a differential system for three molecular saturated reaction. The conditions for the existence and nonexistence of limit cycles are obtained.
引入平衡点、极限环及其稳定性的概念，以此为基础我们讨论自激振动的特点和机制。
The conceptions of balance point, limited cycle and their stability are introduced as the basis of the author's discussion on the properties and mechanism of self-excited vibration.
仿真研究结果显示，在四个单元相互连接的网络中，系统即可同时出现极限环和混沌现象。
The result of simulation study illustrates that, in the network of interconnected four units, system can have the phenomenon of limited cycle and chaos in the same time.
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