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  "body": "\n## Summary\n\nAn Arnold tongue is a region in the parameter plane of the [[circle map|N2SVK69S53]] where the [[rotation number|DP4WWQBJJF]] takes one fixed rational value $p/q$.\nEach tongue starts at the single point $\\Omega = p/q$ when there is no nonlinearity, and widens as the nonlinearity $K$ grows.\nInside a tongue the system is mode locked: it has periodic orbits of period $q$.\nArnold tongues describe synchronization of oscillators with a periodic forcing.\n\n## Explanations\n\n### L1 human\n\nDrive an oscillator, such as a swing or a pendulum clock, with a periodic push.\nFor some combinations of push strength and frequency, the oscillator locks into a rhythm, for example two swings for every three pushes.\nDrawing these locked regions in the plane of frequency and strength gives thin wedge shapes that grow wider as the push gets stronger.\nThey look like tongues hanging down to the axis of zero strength, hence the name.\n",
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