Arnold Tongues

region

0

resolution

0.0028

Vladimir Arnold first investigated Arnold tongues in a model for kicked rotors. They are domains of stability with periodic motion around rational values for a circle map. These domains are mode-locked to an irrational driving frequency and have a constant rational winding number. A plot is shown of the coupling strength

K

between

0

and

4π

, versus the driving phase

Ω

from

0

to

1

.