Entropic stochastic resonance of a fractional confined system driven by bounded noise

In this paper, we studied the entropic stochastic resonance phenomenon of a fractional overdamped linear system which is driven by bounded noise in a dumbbell-shaped confined space. First, we calculated and acquired the analytical solution of the system in the unconfined space. Based on the analytical solution and a simulation algorithm, we found that the system does not have resonance phenomenon in the unconfined space. In the confined space, we also obtained the trajectory of a particle using the simulation algorithm and compared with the noise-free situation. Next, we got the amplitude-noise curves of the system in the confined space using the simulation algorithm. We discovered the fractional entropic stochastic resonance phenomenon and analyzed the dependence of parameters on the resonance phenomenon. The fractional entropic stochastic resonance phenomenon is firstly found in the confined space. The research results of this paper will help to understand the stochastic dynamics of the particle of viscoelastic memory materials in biological channels or nanoscale confined spaces.