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1·The dangerous value of the control parameter led to surf-riding and the domain of periodic motion and surf-riding given.

控制参数的危险值导致滑行，并给出了周期性运动和滑行的范围。

2·Long long ago, we knew the periodic motion of a planet.

很久以前，我们就知道行星的周期运动。

3·The harmonic oscillator is an exceptionally important example of periodic motion.

谐振子在周期运动中是特别重要的。

4·When the speed exceeds some value, the chaotic motion suddenly changes into periodic motion.

当转速超过某值时，混沌运动将激变为周期运动。

5·Moreover, the stability of periodic motion is studied and the corresponding characteristic equation is derived.

导出了判断理想转子周期性碰摩运动稳定性的特征方程。

6·The stability of the periodic motion decreases as the depth of the transverse crack on the rotating shaft increases.

裂纹深度的加大降低了系统周期运动的稳定性。

7·The dangerous value of control parameter which leaded to surf-riding and the domain of periodic motion and surf-riding were given.

给出了导致骑浪发生的危险临界参数值，以及周期运动和骑浪运动区域划分。

8·The instability of the unbalanced system motion may result in doubling period bifurcation, almost periodic motion and chaotic motion.

存在不平衡量时，系统失稳可能产生拟周期分岔、倍周期分岔并可能导致混沌振动。

9·An example is periodic motion, such as the precession of a particle with intrinsic spin and magnetic moment in a constant magnetic field.

一个例子是周期运动，如一个带有自旋和磁矩的粒子在恒定磁场中的进动。

10·This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately.

提出了一种精确有效的数值算法，用以确定谐波激励下的分段线性振子的周期运动。