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In this paper we describe the solution of a stochastic bistable system from adynamical perspective. We show how a single framework with variable noise canexplain hysteresis at zero temperature and two-state coexistence in thepresence of noise. This feature is similar to the phase transition ofthermodynamics. Our mathematical model for bistable systems also explains howthe width of a hysteresis loop shrinks in the presence of noise, and howvariation in initial conditions can take such systems to different finalstates.

Stochastic bistable systems, and competing hysteresis and phase coexistence