Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises

The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.