Effects of additive noise on on-off intermittency

Abstract
On-off intermittency is an aperiodic switching between static, or laminar, behavior and bursts of oscillations. It has been recently investigated in a class of one-dimensional maps that are multiplicatively coupled to either random or chaotic signals. The addition of noise to the system results in a fundamental change in the nature of the intermittency. The critical onset parameter changes discontinously, and the distribution of the laminar phases is modified. These contrasts are examined in terms of random walks.

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