Jump-resonance criteria for systems containing double-valued and frequency-dependent nonlinearities

A procedure is developed for evaluating the jump-resonance frequencies for feedback systems containing nonlinearities which have complex and frequency-dependent describing functions. The method permits the determination of the multimodal region on the input amplitude/frequency plane, as well as other information concerning the system behaviour at the jump-resonance point. It is therefore convenient for use in the design of multimodal systems. The procedure is illustrated by means of two examples.