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

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

17 pages, 2 figures

References in corpus (2)

• Stochastic stability of sectional-Anosov flows
• Lyapunov exponents for random maps

Cited by in corpus (1)

• Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise