The course material will be made available as a combination of purpose lecture notes and selected parts of other texts. It will always be made entirely clear which material is relevant to tests and the exam.
Some of my favourite texts are:
[HK] Boris Hasselblatt and Anatole Katok. A first course in Dynamics. 2003.
- This is very readable as an introduction. It guides the reader's understanding of many important concepts in dynamical systems.
[BS] Michael Brin and Garrett Stuck. Introduction to Dynamical Systems 2002.
- This is a very good book, but in parts it may be written too compactly for a first introduction.
Other good texts:
Other good texts:
John Guckenheimer and Philip Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. 1983. (somewhat dated but inspiring in scope and context)
Anatole Katok and Boris Hasselblatt. Introduction to the Modern Theory of Dynamical Systems.1995. (impressive reference text; not so appropriate for as a first text)
Clark Robinson. Dynamical Systems. Stability, Symbolic Dynamics and Chaos. 1995. (advanced textbook)On blackboard there are some additional suggestions for background reading.
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