Determening the Period of Coupled Oscillators

omertech

Hello everyone,
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!

omertech	Determening the Period of Coupled Oscillators Tweet Hello everyone, 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!