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We explore sequential escape behaviour of coupled bistable systems under theinfluence of stochastic perturbations. We consider transient escapes from amarginally stable "quiescent" equilibrium to a more stable "active"equilibrium. The presence of coupling introduces dependence between the escapeprocesses: for diffusive coupling there is a strongly coupled limit (fastdomino regime) where the escapes are strongly synchronised while forintermediate coupling (slow domino regime) without partially escaped stablestates, there is still a delayed effect. These regimes can be associated withbifurcations of equilibria in the low-noise limit. In this paper we consider alocalized form of non-diffusive (i.e pulse-like) coupling and find similarchanges in the distribution of escape times with coupling strength. However wefind transition to a slow domino regime that is not associated with anybifurcations of equilibria. We show that this transition can be understood as acodimension-one saddle connection bifurcation for the low-noise limit. Attransition, the most likely escape path from one attractor hits the escapesaddle from the basin of another partially escaped attractor. After thisbifurcation we find increasing coefficient of variation of the subsequentescape times.

Sequential escapes: onset of slow domino regime via a saddle connection