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Diverse complex systems often undergo sudden changes in their states, such asepileptic seizures, climate changes, and social uprisings. Such behavior hasbeen modeled by noise-induced escape of bistable elements, which is the escapefrom an attracting state driven by a fluctuation in the system's state. Weconsider a system of interacting bistable elements and investigate the effectof diffusive coupling among elements on the process of noise-induced escape. Wefocus on the influence of the coupling strength over the escape time, which isthe time it takes for noise-induced escape to occur. We performed numericalsimulations and observed that weak coupling reduced the mean escape time,whereas strong coupling impeded escape. We argue that, although diffusivecoupling both facilitates and impedes escape, the facilitating effect isdominant when coupling is weak. For weak coupling cases, we develop anapproximate theory that can predict the mean and variance of escape times. Incontrast, strong coupling reduces the effective noise intensity to impedeescape. Our results suggest that diffusive coupling among multistable elementscontributes to regulating the rate of transitions among attracting states.

Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements