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Hopping and phase shifts in noisy periodically driven bistable systems

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Zeitschrift für Physik B Condensed Matter

Abstract

We consider a periodically driven bistable system in the presence of fluctuations. In a number of recent papers it has been shown that the amplitude of the response of the noisy system to periodic modulations exhibits stochastic resonance, i.e. a resonance-like behavior as a function of the noise intensity. In this paper, we consider the phase shift between the response and the periodic driving. For weak periodic driving, the phase shift also shows a resonance like behaviour as a function of the noise strength, but this effect is shown to be of different origin than the one responsible for stochastic resonance. Furthermore, the phase shift is demonstrated to exhibit a resonance-like behavior as a function of the driving frequency.

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Authors and Affiliations

  1. Institut für Physik, Universität Augsburg, Memminger Strasse 6, W-8900, Augsburg, Federal Republic of Germany

    Peter Jung & Peter Hänggi

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  1. Peter Jung
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  2. Peter Hänggi
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Jung, P., Hänggi, P. Hopping and phase shifts in noisy periodically driven bistable systems. Z. Physik B - Condensed Matter 90, 255–260 (1993). https://doi.org/10.1007/BF02198162

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  • DOI: https://doi.org/10.1007/BF02198162

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