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We calculate, numerically, the residence times (and their distribution) of aBrownian particle in a two-well system under the action of a periodic,saw-tooth type, external field. We define hysteresis in the system. Thehysteresis loop area is shown to be a good measure of synchronization ofpassages from one well to the other. We establish connection between thisstochastic synchronization and stochastic resonance in the system.Comment: To appear in PRE May 1997, figures available on reques

Relation between stochastic resonance and synchronization of passages in a double-well system