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。
For fixed damping and fixed excited frequency the motion of the beam under small amplitude of force is periodic, but becomes chaotic through period doubling bifurcation with increase of the force.
对固定的参数激励频率和阻尼，当参数激励幅值较小时梁的运动是周期的，但大幅值激励会使运动通过倍周期分岔变为混沌。
Mobile cathode: the mechanical device makes the plated with its poles together as a product of the periodic reciprocating motion cathode.
移动阴极：采用机械装置使被镀制件与极杠一起作周期性往复运动的阴极。
Be this kind of relation and its motion, brought about the periodic wave motion of real economy.
正是这种关系及其运动，导致了现实经济的周期性波动。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
非线性系统的长期规则运动除了平衡点和周期解以外，概周期解，或有时表现为拟周期解也是一种长期规则运动。
The characteristics of error motion of shafting is a complex signal which includes periodic component and random term.
轴系回转误差运动的特征是一项复合信号，它含有周期分量和随机分量。
By using the classical orbit element differences method, the periodic characteristics of relative motion and the influence of atmospheric drag on relative motion were analyzed.
基于经典轨道要素偏差法分析了相对运动特性和大气阻力对相对运动的影响。
A stable and accurate integral closed algorithm is presented, which is used to solve multiplicative Langevin equation describing the directed motion of a particle in a periodic potential.
提出一种稳定和精确的坐标变换和闭合积分方法，用以求解描述周期势场中布朗粒子作定向运动的乘性朗之万方程。
The system parameters of shaker may be optimized by studying of stability and bifurcation of periodic impact motion of shaker.
周期运动的稳定性与分叉研究可以为冲击振动落砂机的动力学优化设计提供理论依据。
In this paper, the chaotic motion of a double-pendulum is suppressed efficiently based on the method of periodic force.
本文基于外加周期激振力信号作用首次对双杆摆机构的混沌运动进行了有效的控制。
In allusion to the characteristic that Geocentric motion is piled up by several periodic motions, the spectral analysis by wavelet and ar were discussed in turn in this paper.
针对地球质心运动主要是由多种周期运动叠加的特点，依次讨论了谱分析方法中的AR模型谱分析和小波谱分析方法。
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。
The input_output feedback linearization method and its modified version are respectively applied to control chaotic attitude motions to the given attitude rest and the periodic motion.
采用输出变量反馈线性化控制律及其局部线性化将混沌姿态运动控制为给定的静止状态和周期运动。
Periodic error commonly appear in restoring uniform motion blurred picture, its appearance degrade the quality of restored image heavily.
周期性误差是匀速直线运动降质图像复原中普遍存在的现象，它严重影响复原图像质量。
The master equation approach to molecular motor's directed motion based on periodic one-dimensional three-state hopping model is studied.
利用主方程的方法，研究了在一维三态周期跳跃模型下分子马达的定向运动。
In the chaotic area that periodic Windows exist indicates again the Brownian motion has a characteristic of organizational structure and highly regularity.
混沌区周期窗口的存在又表明布朗运动是组织结构和高度有序的表现。
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。
The chaotic motion problem for the Longitudinal vibration of a nonlinear viscoelastic pile subjected to an axial periodic force is investigated.
研究了轴向周期载荷作用下非线性粘弹性嵌岩桩纵向振动的混沌运动。
The transverse chaotic motion problem of a nonlinear viscoelastic rigid basic pile subjected to an axial periodic force is investigated.
研究了轴向周期载荷作用下非线性粘弹性嵌岩桩的横向混沌运动。
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。
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。
The simulated extraction of weak frequency variation signal is carried out with the expressed Resonant frequency locking property when system transits from chaotic to great periodic motion.
利用系统从混沌状态到大周期转变时所表现出的共振锁频性质，进行了微弱频率变化信号的仿真提取。
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。
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。
The rotating number is generally an irrational number and only in some special conditions is a rational one, from which it can be known that the motion of the system is quasi-periodic or periodic.
在此基础上分析系统的转动数，发现转动数一般为无理数，只在某些特定条件下存在有理旋转数，从而系统作准周期运动或者周期运动。
The diagrams of bifurcation, sub-harmonic, quasi-periodic and chaotic motion with typical parameters are numerically created.
数值计算得到了转子系统在特定参数范围内的分叉图，系统存在亚谐波、概周期和混沌等非协调运动。
It is found that periodic oscillation and chaotic motion are inlaid with each other and appear alternately.
周期振荡与混沌运动相互嵌套、交替出现。
The chaotic motion of a nonlinear viscoelastic rigid basic pile subjected to an axial force and a periodic horizontal force was investigated.
研究了在轴向载荷和周期性横向载荷共同作用下非线性粘弹性嵌岩桩的混沌运动情况。
The results show that the motion of atomic mass centre leads to the periodic evolution of the dynamics of the field phase and this period depends on the field mode structure parameter.
结果表明：原子质心运动导致场相位动力学的周期性演化，场模结构参数决定其周期的大小。
When charged particle does circular motion in the accelerator, the magnetic field of the accelerator can be taken as periodic, and equivalent to virtual photon.
当带电粒子在加速器中做圆周运动时，加速器的磁场可以看作周期静磁场，可以等效为虚光子。
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