Applied Dynamical Systems

These are easy-to-read lecture notes for a short first-year Ph.D. student course on Applied Dynamical Systems, given at the London Taught Course Centre in Spring 2008, 2009 and 2010. The full course consists of two parts, covering four and six hours of lectures, respectively. The first part taught by Wolfram Just is on Basic Dynamical Systems. The present notes cover only the second part, which leads From Deterministic Chaos to Deterministic Diffusion. The lecture notes for the first part (plus an additional chapter on intermittency) as well as some exercises for the second part including model solutions are available on the course webpage under http://www.maths.qmul.ac.uk/~klages/teaching/ltcc ads. Part 2 is essentially self-contained and does not really require knowledge of Part 1 or any other preknowledge on dynamical systems.

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