Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps

DOI10.1007/s00220-017-2999-2zbMath1392.37044OpenAlexW2761419634MaRDI QIDQ1749266

Lai-Sang Young, Alex Blumenthal, Jinxin Xue

Publication date: 16 May 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-017-2999-2

zbMATH Keywords

random perturbationsLyapunov exponentcorrelation decayrandom map

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (9)

A general view on double limits in differential equations ⋮ Positive Lyapunov exponent in the Hopf normal form with additive noise ⋮ Random‐like properties of chaotic forcing ⋮ Lower bounds on the Lyapunov exponents of stochastic differential equations ⋮ Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps ⋮ Comparing chaotic and random dynamical systems ⋮ Numerical computations of geometric ergodicity for stochastic dynamics ⋮ Statistical properties for compositions of standard maps with increasing coefficient ⋮ How does noise induce order?

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