The stochastic resonance (SR) phenomenon for an underdamped bistable system driven by multiplicative and additive signals with multiplicative and additive noise is investigated. Under the detailed balance and weak noise conditions, the signal-to-noise ratios (SNRs) for the multiplicative signal and for the additive signal have been derived. Single-peak phenomenon occurs when the SNRs change with the intensities of the multiplicative and additive noises. SR in a broad sense occurs on the curves of the SNRs versus the damping coefficient. The non-monotonic dependence of the SNRs on the other system parameters is discussed.

The stochastic resonance (SR) behavior for a linear oscillator with two kinds of fractional derivatives and random frequency is investigated. Based on linear system theory, and applying with the...