1D Circle Map - Demo 2

Frequency Locking

For external frequencies b near a low order rational there is a tendency towards frequency locking, which grows with increasing nonlinearity parameter a

a b Orbit Spectrum Dynamics
0.8 0.51 Locked
0.8 0.5311 Unlocked
0.95 0.5311 Locked

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Last modified Wednesday, December 15, 1999
Michael Cross