English

How does noise induce order?

Dynamical Systems 2022-11-30 v7

Abstract

In this paper we present a general result with an easily checkable condition that ensures a transition from chaotic regime to regular regime in random dynamical systems with additive noise. We show how this result applies to a prototypical family of nonuniformly expanding one dimensional dynamical systems, showing the main mathematical phenomenon behind Noise Induced Order. Accepted at Journal of Statistical Physics

Keywords

Cite

@article{arxiv.2003.08422,
  title  = {How does noise induce order?},
  author = {Isaia Nisoli},
  journal= {arXiv preprint arXiv:2003.08422},
  year   = {2022}
}

Comments

32 pages, 3 figures