Question: Describe the Poincar section corresponding to a periodic function when the sampling interval is one-third of the period. A DOF system with a cubic nonlinearity

Describe the Poincaré section corresponding to a periodic function when the sampling interval is one-third of the period.

A DOF system with a cubic nonlinearity has a linear natural frequency of $120 \mathrm{rad} / \mathrm{s}$. The system is forced by harmonic excitations at different frequencies $\omega_{1}$ and $\omega_{2}$. What resonances does the system have under the given circumstances.

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