Lyapunov Exponents from Random Fibonacci Sequences to the Lorenz Equations

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


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