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arXiv · 1112.0189

On-off intermittency over an extended range of control parameter

Eric Bertin
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Abstract

We propose a simple phenomenological model exhibiting on-off intermittency over an extended range of control parameter. We find that the distribution of the 'off' periods has as a power-law tail with an exponent varying continuously between -1 and -2, at odds with standard on-off intermittency which occurs at a specific value of the control parameter, and leads to the exponent -3/2. This non-trivial behavior results from the competition between a strong slowing down of the dynamics at small values of the observable, and a systematic drift toward large values.

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Eric Bertin. 2012-04-23. On-off intermittency over an extended range of control parameter. https://doi.org/10.1103/physreve.85.042104

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