Existence of a unified signal-response formula encompassing noise color, damping, and coupling

Determine whether a unified analytical signal-response formula exists that simultaneously accounts for noise color (e.g., Ornstein–Uhlenbeck correlation time), damping coefficients, and mean-field coupling in stochastic resonance of bistable systems.

Background

The paper reviews fragmented theoretical work on stochastic resonance obtained under various assumptions (e.g., different noise types, coupling structures, and damping regimes) and highlights the lack of an overarching expression describing signal response across these settings. The authors set out to derive response formulas for multiple scenarios and investigate whether they can be reduced to a single, unified form.