An Introduction to Dynamical Systems and Chaos by Marc Spiegelman
Publisher: LDEO 1997
This tutorial will develop the basic ingredients necessary for modeling and understanding simple (and not so simple) non-linear dynamical systems. The goal of these exercises are to demonstrate you that you can develop significant insight into the behavior of complicated non-linear systems with just a little math, a little art and a little modeling software.
Mathematics Applied Dynamical Systems Theory