The dissipative non-local oscillator in resonance with a periodic excitation

The most important characteristic of a non-local and non-linear oscillator in resonance or in quasi-resonance with a periodic excitation are extensively examined by means of a new asymptotic perturbation method. The resultant motion is periodic or quasi-periodic, because in certain cases a motion given by the interference of even three different frequencies is observed. Comparison with the results deriving from the numerical integration confirms the validity of the asymptotic perturbation method employed in the calculation of the solution