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arXiv · 1012.4303

Positive Lyapunov exponent by a random perturbation

Zeng Lian·Mikko Stenlund
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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.

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Zeng Lian, Mikko Stenlund. 2010-12-20. Positive Lyapunov exponent by a random perturbation. https://doi.org/10.1080/14689367.2012.667787

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