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I was wondering how could you determine the period of the motion of two or more coupled oscillators. For example, two oscillators have the state variable equations:

[tex]x_1=A_1\cos{(\omega_1t+\phi_1)}+A_2\cos{(\omega_2t+\phi_2)}[/tex]

[tex]x_2=A_1\cos{(\omega_1t+\phi_1)}-A_2\cos{(\omega_2t+\phi_2)}[/tex]

Thanks!

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# Determening the Period of Coupled Oscillators

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