Diffusive behavior of a coupled generalized Langevin system under bounded noise

In this paper, the phenomenon of diffusion induced by bounded noise is studied in a coupled generalized Langevin system. Analytical expressions for the moment of the response are derived by means of Laplace transform. The obtained results indicate the existence of the non-Markovian diffusion. Specifically, the coupling strength between harmonic oscillators and the intensity added to Wiener process play opposite roles in the transition from the stationary to the diffusive regime. Also, the effects of the amplitude of bounded noise and the cross-correlation between noises are analyzed. Moreover, the phenomenon of stochastic resonance (SR) is found by the index of signal-to-noise ratio (SNR). Interestingly, the increase of coupling damping coefficient enhances diffusive behavior but suppresses SR. Finally, the numerical results well verify the validity of the theoretical analyses.