Question
Anisotropic Oscillator Consider a two-dimensional anisotropic oscillator
is rational (that is, ws/wy = p/q
4.
Prove that if the ratio of the frequencies w and wy
where p and q are integers with gcd(p, q) = 1, where gcd stands for greatest common
divisor) then the motion is periodic. Determine the period.
P

Image Transcription

Anisotropic Oscillator Consider a two-dimensional anisotropic oscillator is rational (that is, ws/wy = p/q 4. Prove that if the ratio of the frequencies w and wy where p and q are integers with gcd(p, q) = 1, where gcd stands for greatest common divisor) then the motion is periodic. Determine the period. P

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