Description: 这是关于非线性单摆的混沌解法后期出现的庞加莱图的matlab程序
-This is a nonlinear pendulum on the latter part of the chaotic solution of the Poincare map matlab program Platform: |
Size: 1024 |
Author:julien716 |
Hits:
Description: 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)
Platform: |
Size: 8192 |
Author:Mike Gao |
Hits:
Description: 混沌现象出现于非线性系统中。Matlab模拟了复摆运动行为及混沌现象-Chaotic phenomena in nonlinear systems. Matlab simulation of the compound pendulum movement behavior and chaos phenomena Platform: |
Size: 9216 |
Author:njsh |
Hits:
Description: In order to model the chaotic motion of the double pendulum,i am going to use Matlab solving the problem using numerical methods such as Rung-Kutta and Ordinary Differential Equations (ODE).-In order to model the chaotic motion of the double pendulum,i am going to use Matlab solving the problem using numerical methods such as Rung-Kutta and Ordinary Differential Equations (ODE). Platform: |
Size: 2048 |
Author:osenam |
Hits:
Search - chaotic pendulum matlab