*draft*
# Hamiltonian chaos

...When *|K| << 1* the Kolmogorov-Arnold-Moser (KAM) theorem
implies that most of these invariant circles persist.

# Chaotic bands near separatrix

You can see that there are chaotic bands at arbitrary small perturbation
*K* value. These bands are similar.
Click "Rand" and "Clear" while you get more accurate (random!) picture.
*K = 0.1*

*K = 0.2*

*Controls:* Click mouse with *Alt/Ctrl* to zoom In/Out.
Hold the *Shift* key to zoom in the vertical direction only.
Press <Enter> to set a new *K* value.

Contents
Previous: The Standard map
Next: 3-body Coulomb dynamics

*updated* 19 August 2003