Both coherence resonance (CR) and stochastic resonance (SR) in a delayed bistable system driven by additive and multiplicative white noises and a weak harmonic excitation are studied by using the theory of two-state model. For the weak noise intensity and delayed feedback, the analytic...

We studied the motion of an underdamped Brownian particle in a periodic potential subject to a harmonic excitation and a colored noise. The average input energy per period and the phase lag are calculated to quantify the phenomenon of stochastic resonance (SR). The numerical results show that...

The relaxation time Tc of the intensity correlation function is investigated in a single-mode dye laser system driven by cross-correlated additive and multiplicative white noises. The expression for Tc is obtained by using the projector–operator method. And then the effects of correlation...

The phenomenon of diffusion induced by bounded noise is studied in the coupled generalized Langevin system in this paper. Analytical expressions for the moment of response are derived by means of the Laplace transform. The obtained results indicate the existence of the non-Markovian diffusion of...