Lyapunov Exponents from Random Fibonacci Sequences to the Lorenz Equations

@inproceedings{Viswanath1998LyapunovEF,
title={Lyapunov Exponents from Random Fibonacci Sequences to the Lorenz Equations},
author={Divakar Viswanath and Ph. D. Cornell},
year={1998}
}

Lyapunov exponents give a way to capture the central features of chaos and of stability in both deterministic and stochastic systems using just a few real numbers. However, exact analytic determination of Lyapunov exponents is rarely possible, and as we will show, even an accurate numerical computation is not a trivial task. One of the principal results of this thesis is about random Fibonacci sequences. Random Fibonacci sequences are defined by t 1 = t 2 = 1 and t n = ±t n−1 ± t n−2 for n > 2… CONTINUE READING