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

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

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