# A Chaotic Pendulum in Phase Space with Java

## Contents of Applets

- Complicated behavior
- 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
- 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