Steady-state response of a binon-linear hysteretic system

The steady-state responses are analyzed for a binon-linear hysteretic system using the method of slowly varying parameters. It is shown that the triple-valued and quintuple-valued response curves exist in this system in certain parameter ranges. The stability is studied for the steady-state responses. The results obtained show that the unstable region of response is divided into two regions in certain parameter range, and the distance between the two regions goes to infinity as the value of non-linearity parameter goes to zero.