Stochastic resonance due to Bi-harmonic potential barrier in inhomogeneous medium

In most bistable system the Stochastic Resonance Occurs in both homogeneous and inhomogeneous medium. In the problem of Stochastics Resonance with the effect of running friction and periodic driven force, we numerically solve the under damped motion with Stochastics Resonance system parameters. In the inhomogeneity the directional asymmetry is brought by the friction. We analyze the trajectory and the ratcheting of the system and we explained for the same.