THE DISSIPATIVE NONLOCAL OSCILLATOR IN RESONANCE WITH A PERIODIC EXCITATION

The most important characteristics of a non-local and non-linear oscil lator in resonance or in quasi-resonance with a periodic excitation ar e extensively examined by means of a new asymptotic perturbation metho d. The resultant motion is periodic or quasi-periodic, because in cert ain cases a motion given by the interference of even three different f requencies is observed. Comparison with the results deriving from the numerical integration confirms the validity of the asymptotic perturba tion method employed in the calculation of the solution.