...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.
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Next: 3-body Coulomb dynamics
updated 19 August 2003