An analytical study of stochastic resonance in a monostable non-harmonic system

We present an analytical study of the enhancement of the signal-to-noise ratio in a monostable non-harmonic potential. We make use of the exact expression for the diffusion propagator obtained in a previous work, finding a monotonically increasing response with the noise amplitude. On the other hand, for the first time, we provide a cut-off to such an increase, which prevents a probability leakage out of the system.