Elsevier

Indagationes Mathematicae

Volume 12, Issue 4, 17 December 2001, Pages 557-584
Indagationes Mathematicae

Random logistic maps and Lyapunov exponents

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Abstract

We prove that under certain basic regularity conditions, a random iteration of logistic maps converges to a random point attractor when the Lyapunov exponent is negative, and does not converge to a point when the Lyapunov exponent is positive.

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