Stochastic Resonance in an Asymmetric Mono-stable System Subject to Two Periodic Forces and Multiplicative and Additive Noise

The phenomenon of stochastic resonance (SR) in an asymmetric mono-stablesystem subject to two external periodic forces and multiplicative andadditive noise is investigated. It is shown that the signal-to-noise ratio(SNR) for the fundamental and higher harmonics is a non-monotonic functionof the intensities of the multiplicative and additive noise, as well as ofthe system parameter. Moreover, the SNR for the fundamental harmonicdecreases with the increase of the system asymmetry, while the SNR for thehigher harmonics behaves non-monotonically as the system asymmetry varies.