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The Schrodinger equation of a 4-body model system has been solved by using harmonic oscillator product states.

文中用谐振子乘积基展开法求解了四体系统的Schrdinger方程。

One JFET oscillator working with the search coil operates around 494 KHZ.

一个结型场效应管振荡器与搜索线圈工作运行约494千赫。

A charge pump phase locked loop based on self biased technique is presented. In this technique, the operating bias levels are essentially established by the operating frequency of the voltage controlled oscillator, namely, all bias voltages and currents are determined by VCO controlling voltage. Thus, a fixed damping factor and a fixed ratio of the bandwidth to operating frequency are obtained, which are defined by th...

给出了基于自偏置技术的电荷泵锁相环电路，压控振荡器的工作频率动态地建立了电路内部所有的偏置电压和电流，从而实现了固定衰减因子，固定环路带宽与工作频率之比，这二者由电容的比率决定，极大地实现了电路设计的工艺无关性，同时也得到了小的相位抖动，最后，对这种锁相环的稳定性进行了一定的分析。

The PWM controller includes integrated fixed frequency oscillator, under voltage lockout, leading edge blanking, optimized gate driver, internal soft start, temperature compensated precise current sources for a loop compensation and self protection circuitry.

PWM控制器包括集成固定频率振荡器，欠压锁定，前沿消隐的，优化的栅极驱动器，内部软启动，温度补偿一回路补偿和自我保护电路精密电流源。

Oscillator; simple harmonic motion; experimental measurement

弹簧振子；简谐振动；实验测量

We employ a simple method to solve the integral equation for the energy eigenstates of the linear harmonic oscillator.

吾人采用一简单方法，以解量子力学简谐振荡器之能量固有态的积分方程式。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

Output current for pure sine wave, can be extended oscillator and signal generator of life itself.

输出电流为纯正弦波，可以延长振子及信号发生器本身的寿命。

5Parametrically excited nonlinear oscillator can be used to model the rollingmotions of the ship in sinusoidal wave.

5参数激励作用下的非线性振子可以用来模拟船舶的横摇运动。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。