Coherence resonance in subdiffusive fractional Klein-Kramers periodic potential systems without a bifurcation precursor

Coherence resonance of normal diffusive and subdiffusive Brownian particles moving within a static periodic potential is investigated by the method of moments through the dissipation-fluctuation relation. It is shown that coherence resonance could happen in the background of both normal diffusion and subdiffusion. The importance of the current investigation is twofold; on the one hand, it generalizes coherence resonance to a model which surpasses the limitation of either of the two commonly accepted requisites and, on the other hand, it demonstrates subdiffusion has an inhibitory effect on coherence resonance in the system under study.