Abstract

We propose a new statistical law of on-off intermittency just after its onset in connection with the self-similarity dynamics which holds in a time region shorter than the correlation time. It is found that the coarse-grained variable averaged over the time region less than the correlation time takes a certain similarity form of probability density near the onset of intermittency. It is shown that the present statistics holds for several different systems, which suggests the existence of a new universality associated with on-off intermittency.

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