Introduction to chaos, dynamical systems, mappings, phase space, Poincare sections, delay coordinates, fixed points, limit cycles, the logistic map, period-doubling bifurcations, linearization, stability, Frobenius-Perron equation, probability measure, Lesbegue measure, Lyapunov exponents, strange attractors, fractal dimensions, box counting-dimension, linear stability of high-dimensional flows, pointwise dimension, Lyapunov dimension, phase space contraction, classification of fixed points, correlation dimension, universality, quasiperiodicity, transition to chaos, controlling chaos, stabilizing unstable periodic orbits, targeting, synchronizing