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arXiv · 2109.12183

Noise induced order for skew-products over a non-uniformly expanding base

Alex Blumenthal·Isaia Nisoli
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Abstract

Noise-induced order is the phenomenon by which the chaotic regime of a deterministic system is destroyed in the presence of noise. In this manuscript, we establish noise-induced order for a natural class of systems of dimension $\geq 2$ consisting of a fiber-contracting skew product a over nonuniformly-expanding 1-dimensional system.

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Alex Blumenthal, Isaia Nisoli. 2021-09-24. Noise induced order for skew-products over a non-uniformly expanding base. https://doi.org/10.1088/1361-6544/ac87e8

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