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1·The existence of a limit cycle was proved.

证明了极限环和周期解的存在性。

2·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。

3·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。

4·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。

5·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。

6·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；

7·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。

8·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。

9·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。

10·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。