Forced damped driven pendulum Matlab script

Publisher review:
Forced damped driven pendulum - A forced damped driven pendulum exhibits chaotic motion. This simulink model simulates the damped driven pendulum, showing it's chaotic motion.theta = angle of pendulumomega = (d/dt)theta = angular velocityGamma(t) = gcos(phi) = Forceomega_d = (d/dt) phiGamma(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), '.'); Requirements: · MATLAB Release: R2007a
Operating system:
Windows / Linux / Mac OS / BSD / Solaris

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