Random logistic maps and Lyapunov exponents

June, 2001
Report Number: 
599
Authors: 
D. Steinsaltz
Citation: 
PDf
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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