Abstract
We report a theoretical study of dynamics of a nonlinear oscillator (physical pendulum) in the presence of both time-independent driving and resonant alternating forces. Under these conditions the oscillator displays a transition from the libration state to the whirling state at the critical value of the driving force ${\ensuremath{\gamma}}_{c}.$ We obtain that the alternating-force-induced libration states of the oscillator emerge as the amplitude \ensuremath{\eta} of the oscillating force exceeds the threshold value ${\ensuremath{\eta}}_{\mathrm{th}}.$ These libration states are manifested by an extremely sharp drop in the dependence ${\ensuremath{\gamma}}_{c}(\ensuremath{\eta}).$ We observed the predicted effect in an annular Josephson junction with a trapped magnetic fluxon in the presence of microwave radiation.
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