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Abstract
We show that it is possible to characterize anomalous fluctuations in transients from marginal states using first-passage time statistics. The maximum of the fluctuations is found to occur in the median of the first-passage time distribution. The value of this maximum is given in terms of the initial and final state. This characterization of anomalous fluctuations is related to the phenomenon of transient bimodality. We analyze the existence of such a bimodality in terms of an adimensional parameter. Our results are substantiated by numerical simulations. Applications to the Bonifacio-Lugiato model of absorptive bistability are presented.
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