Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal

Abstract

Through the nonmonotonicity of the amplitude of the periodic response, the parameter-induced stochastic resonance of the linear system modulated by bias signal for the multiplicative three-state Markovian noise is researched. We obtain the exact expression of the periodic response of the system. Then the nonmonotonic dependence of the amplitude of the periodic response on the parameters of the asymmetry degree, the switching rate and the value states of the three-state Markovian noise is analyzed. It is shown that, in some circumstances, the parameters of the three-state Markovian noise can induce the stochastic resonance in a linear system modulated by bias signal.