Positive Lyapunov exponent by a random perturbation

Details Positive Lyapunov exponent by a random perturbation Positive Lyapunov exponent by a random perturbation

2010-12-20

arxiv.org/abs/1012.4303v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

10.1080/14689367.2012.667787

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.

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