English

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

Dynamical Systems 2022-11-30 v1 Probability

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 2\geq 2 consisting of a fiber-contracting skew product a over nonuniformly-expanding 1-dimensional system.

Keywords

Cite

@article{arxiv.2109.12183,
  title  = {Noise induced order for skew-products over a non-uniformly expanding base},
  author = {Alex Blumenthal and Isaia Nisoli},
  journal= {arXiv preprint arXiv:2109.12183},
  year   = {2022}
}

Comments

17 pages, 2 figures