We investigate the effect of noise on phase synchronization of coupled chaotic oscillators. It is found that additive white noise can induce phase slips in integer multiples of 2{π}'s in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as superpersistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law.
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Andrade et al. (2000) studied this question.
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