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Orbits of the Chirikov Standard Map

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map parameter k
1.235
number of iterates
2000
3000
4000
5000
hide locators
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The standard map describes a universal, generic behavior of area-preserving maps with divided phase space in which integrable islands of stability are surrounded by chaotic regions. Orbits of the Chirikov standard map are generated by iterating the map
n
times using different initial points. Two orbits are plotted initially; you can add or delete new ones with Alt+Click in the graphic. Three different orbit colors are used cyclically, so that a surface of sections on the map are apparent.
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