Positive Lyapunov exponent by a random perturbation
Dynamical Systems
2012-10-02 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We study the effect of a random perturbation on a one-parameter family of dynamical systems whose behavior in the absence of perturbation is ill understood. We provide conditions under which the perturbed system is ergodic and admits a positive Lyapunov exponent, with an explicit lower bound, for a large and controlled set of parameter values.
Cite
@article{arxiv.1012.4303,
title = {Positive Lyapunov exponent by a random perturbation},
author = {Zeng Lian and Mikko Stenlund},
journal= {arXiv preprint arXiv:1012.4303},
year = {2012}
}
Comments
14 pages