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arXiv · 1905.02746

Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps

Yuzuru Sato·Kathrin Padberg-Gehle
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Abstract

Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show the existence of statistical periodicity in a modified Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A transition from a stable state to a periodic state of the density depending on the noise level is observed in numerical investigations based on trajectory averages and by means of a transfer operator approach. We conclude that the statistical periodicity is the origin of the almost periodicity in noise-induced order.

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Yuzuru Sato, Kathrin Padberg-Gehle. 2019-05-07. Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps. https://arxiv.org/abs/1905.02746

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