Dynamical Systems and Chaos
نویسنده
چکیده
These are some notes related to the one-semester course Math 5535 Dynamical Systems and Chaos given at the University of Minnesota during Fall 2012 with an emphasis to the study of continuous and discrete dynamical systems of dimension one and two. An ambitious list of topics to be covered include phase portraits, fixed points, stability, bifurcations, limit sets, periodic orbit, Poincaré map and chaotic attractor. Many ideas from analysis and topology will be introduced along the way. The course will follow some chapters of the textbook of Hirsch, Smale and Devaney [1] but not necessarily in the same order. Other interesting references as complementary and extra lectures to the course are listed at the end of these notes [2, 3, 4, 5].
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