Diffusive Behavior of a Coupled Generalized Langevin System Under Bounded Noise

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 response. Specifically, the coupling strength between harmonic oscillators and the intensity added to Wiener process play opposite roles in the context of diffusion enhancement, which also depends sensitively on the amplitude of bounded noise and the coupled-damped coefficient. Moreover, the asymptotic behavior of mean square displacement exhibits the resonance effect under bounded noise. Interestingly, as the bounded noise becomes narrowband Gaussian noise, the resonant behavior can be further enhanced