Regular and Chaotic Behaviour of Dynamical Systems -- Shocks in the Burgers Equation and the Asymmetric Simple Exclusion Process -- Automata Networks Strategies for Optimization Problems -- Two Chosen Examples for Fractals: one Deterministic, the Other Random -- A Brief Account of Statistical Theories of Learning and Generalization in Neural Networks -- On the R.E.M. and the G.R.E.M.