How does noise induce order?

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

32 pages, 3 figures

References in corpus (2)

• Lyapunov exponents for random perturbations of some area-preserving maps including the standard map
• Existence of multiple noise-induced transitions in a Lasota-Mackey map

Cited by in corpus (3)

• Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
• Transition to anomalous dynamics in a simple random map
• Noise induced order for skew-products over a non-uniformly expanding base