A Chaotic Pendulum in Phase Space with Java
Copyright, "Computational Physics", Landau, Paez and Bordeianu, Wiley-VCH, 2015.
Contents of Applets
- Complicated behavior (or else Movie of Applet)
- shows a moving pendulum
- pendulum bob turns white when moving fast
- simultaneously plots angular position vs time (dynamic scaling of
axis)
- simultaneously plots trajectory in phase space (dynamic scaling)
- optionally displays power spectrum (square of Fourier components);
run for long time to be realistic
- tabulated standard cases
- Comparison of two chaotic pendula
(or else Movie of Applet)
- shows two moving pendula
- see how sensitivity to initial conditions develops
- eventually motion always looks different
- pendulum bob turns white when moving fast
- tabulated standard cases
- simultaneously plots trajectories in phase space (dynamic scaling)
Applets by Hans Kowallik of the
Landau Research Group
Oregon State University, Corvallis, Oregon
rubin@physics.orst.edu