Forced systems with multiple steady states

The design and analysis of electronic systems often require determination of the steady state response of nonlinear circuits. The purpose of the paper is to reexamine some of the well known facts about nonlinear systems and their analysis. For nonlinear systems there may be two or more different steady-state responses, as in the case of jump resonance; there can be responses of different periods, as in the case of subharmonics; or there can be a nonperiodic response, as in the case of systems that exhibit chaos. This work deals with the application of iteration and Volterra series analysis methods to certain types of problems with interesting solutions. In particular, the jump resonance phenomenon and the initial conditions leading to different harmonic solutions are considered.<>