The equation of motion for the forced vibration of a single-degree-of-freedom nonlinear system can be expressed as
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The equation of motion for the forced vibration of a single-degree-of-freedom nonlinear system can be expressed as
\[\ddot{x}+c \dot{x}+k_{1} x+k_{2} x^{3}=a_{1} \cos 3 \omega t-a_{2} \sin 3 \omega t\]
Derive the conditions for the existence of subharmonics of order 3 for this system.
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