Two-Well System under Large Amplitude Periodic Forcing: Stochastic Synchronization, Stochastic Resonance and Stability

TL;DR

This paper investigates stochastic resonance, synchronization, and stability in a two-well system under large amplitude periodic forcing, analyzing residence times, hysteresis, and noise effects.

Contribution

It introduces a detailed analysis of stochastic phenomena in a two-well system with large forcing, focusing on stability, resonance, and synchronization.

Findings

Hysteresis loop area correlates with synchronization degree.

Noise can induce stability in an otherwise unstable system.

Large amplitude forcing affects stochastic resonance and synchronization patterns.

Abstract

We study the residence time distributions and explore the possibility of observing stochastic resonance and synchonization of passages in a two-well system driven by a periodic forcing of amplitude larger than a marginal value beyond which one of the two wells become unstable and diasppear. We define and calculate hysteresis loop in the system, the area of which measures the degree of synchronization between the residence time statistics and the input signal, as a function of input noise strength. We analyse the noise induced stability obtained in such a deterministically overall unstable system and within this context discuss the above two phenomena.