Positive Lyapunov exponent by a random perturbation

Zeng Lian, Mikko Stenlund

Published 2010-12-20Version 1

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.