Transition characteristics of the jump phenomenon in nonlinear resonant circuits

Currents in resonant circuits containing nonlinear elements, and amplitudes of oscillations in other nonlinear systems with periodic forcing functions, display two modes in certain ranges of frequency and amplitude of the forcing functions. The characteristics of the transition from one mode to another in an RLCcircuit are affected by the changes in parameters, and at the instants of time when these changes or disturbances are introduced into the circuit. Analysis of the critical conditions for second-order equations containing cubic-and, in certain cases, higher-order nonlinearities is carried out to determine these transients.