1D Circle Map - Demo 3

Onset of Chaos from Quasiperiodic Motion

It is useful to tune the external frequency b as a is increased to maintain a fixed, irrational winding number. The Golden Mean ½(5½-1)=0.61803... plays a special role, since in some sense it is the most irrational number, and we will follow this value.

a b Orbit Spectrum
0.5 0.6144
0.95 0.6075
1.0 0.60665
1.05 0.6056

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Last modified Wednesday, December 15, 1999
Michael Cross