The study of the mathematical dynamical systems presented in the previous chapters advanced our understanding of the dynamics of nonlinear deterministic systems. We now know that random-looking behavior can arise from simple nonlinear systems. Such dynamics, now termed chaotic dynamics, exhibit complicated strange attractors that are fractal sets with positive Lyapunov exponents. We also learned how the dynamic behavior of a system can change via bifurcations, and how period doubling, intermittency, and crisis can take a system from a periodic to a nonperiodic evolution.
KeywordsMutual Information Lyapunov Exponent Correlation Dimension Embedding Dimension Capacity Dimension
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