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This simulink model simulates the damped driven pendulum, showing it s chaotic motion. theta = angle of pendulum omega = (d/dt)theta = angular velocity Gamma(t) = gcos(phi) = Force omega_d = (d/dt) phi Gamma(t) = (d/dt)omega + omega/Q + sin(theta) Play with the initial conditions (omega_0, theta_0, phi_0 = omega(t=0), theta(t=0), phi(t=0)) and the system parameters (g, Q, omega_d) and the solver parameters/method. Chaos can be seen for Q=2, omega_d=w/3. The program outputs to Matlab time, theta(time) & omega(time). Plot the phase space via: plot(mod(theta+pi, 2*pi)-pi, omega, . ) Plot the Poincare sections using: t_P = (0:2*pi/omega_d:max(time)) plot(mod(spline(time, theta+pi, t_P), 2*pi)-pi, spline(time, omega, t_P), . ) System is described in: "Fractal basin boundaries and intermittency in the driven damped pendulum" E. G. Gwinn and R. M. Westervelt PRA 33(6):4143 (1986) (This simulink model simulates the damped driven pendulum, showing it s chaotic motion. theta = angle of pendulum omega = (d/dt)theta = angular velocity Gamma(t) = gcos(phi) = Force omega_d = (d/dt) phi Gamma(t) = (d/dt)omega+ omega/Q+ sin(theta) Play with the initial conditions (omega_0, theta_0, phi_0 = omega(t=0), theta(t=0), phi(t=0)) and the system parameters (g, Q, omega_d) and the solver parameters/method. Chaos can be seen for Q=2, omega_d=w/3. The program outputs to Matlab time, theta(time) & omega(time). Plot the phase space via: plot(mod(theta+pi, 2*pi)-pi, omega, . ) Plot the Poincare sections using: t_P = (0:2*pi/omega_d:max(time)) plot(mod(spline(time, theta+pi, t_P), 2*pi)-pi, spline(time, omega, t_P), . ) System is described in: "Fractal basin boundaries and intermittency in the driven damped pendulum" E. G. Gwinn and R. M. Westervelt PRA 33(6):4143 (1986) )

说明：  北航刘金锟老师的《机器人控制系统设计与MATLAB仿真》第二章和第三章附带的部分完整matlab源程序,我每个都仿真学习过了！(Beihang Liu Kun teachers, &quot Robot Control System Design and MATLAB simulation,&quot Chapters II and III with the part of the complete matlab source code, I studied a simulation of each of them!)

波达方向估计算法仿真中的基于解相干的MUSIC源程序，前向空间平滑MUSIC源程序。属于music算法的一种(Simulation of DOA estimation of MUSIC based coherent source solutions, the first source to the spatial smoothing MUSIC. Algorithm is a kind of music)

matlab实现qpsk通信的调制。该调制为源程序，请大家指正。谢谢(matlab to achieve qpsk communication modulation. The modulation for the source code, please correct me. Thanks)

说明：  关于对六边形内三角形数量的matlab算法，G6。相当实用。(Within the triangle on the number of hexagon matlab algorithm, G6. Very useful.)

MATLAB实现的移位寄存器，可以很容易在网上找到框图，原理也很简单，适合初学者参考。(MATLAB implementation of the shift register, you can easily find online diagram, the principle is very simple, suitable for beginners reference.)

使代码框文字可以中文高亮，达到方便阅读功能(Chinese characters can make the code box highlighted, to facilitate the reading function)

功率谱密度估计。welch法功率谱密度估计，协方差法估计，Burg法估计。(psd estimate。welch，covariance，Burg。)

LMS算法的Matlab的具体实现,一个很简单的LMS算法的例子(implementation of LMS with Matlab)

基于灰色理论的粒子群优化算法，在matlab7上进行了试用(Based on Grey Theory PSO, a trial on the matlab7)