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Positive Lyapunov exponent by a random perturbation (1012.4303v1)
Published 20 Dec 2010 in math.DS, math-ph, math.MP, and nlin.CD
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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