Hamiltonian Chaos - Demo 2

2D Circle Map: .... and Area Preserving.

Now look at the same parameters except b=1. For each demonstration click on various points of the running plot to start from new initial conditions.


You should find a rich variety of behavior for each set of parameters with

The structure is very rich: if you enlarge various regions of the plot you will find the same range of behavior repeated on smaller and smaller scales. (Remember you can reset the scales by clicking outside a stopped plot.) As a increases the chaotic orbits become more evident and more of the tori break down.

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Last modified Sunday, March 5, 2000
Michael Cross