| 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 ;Other contributions of this thesis include formulas for condition numbers of random triangular matrices and an accurate computation of the Lyapunov exponents of the Lorenz equations. |
