Circle Map - Chirikov Standard Map

Chirikov Standard Map

The Chirikov standard map is related to the circle map, having similar recurrence relations, which may be written as

with both iterates taken modulo 1. In essence, the standard map introduces a momentum which is allowed to dynamically vary, rather than being forced fixed, as it is in the circle map. The standard map is studied in physics by means of the kicked rotor Hamiltonian.

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