Lectures: room 341 (Huxley), wednesday 9-11am, thurday 9-11am
The aim of this course is to provide an introduction to basic concepts and ideas underlying the modern qualitative theory of ordinary differential equations (dynamical systems), also popularly known as Chaos Theory.
This course is strongly recommended for those students intending to take Ergodic Theory (M4A36), Bifurcation Theory (M3A24/M4A23) and Advanced Dynamical Systems (M4A38).
Suggested literature:
Main texts:
[BS] Michael Brin and Garrett Stuck. Introduction to Dynamical Systems. 2002. (recommended buy)
[HK] Boris Hasselblatt and Anatole Katok. A first course in Dynamics. 2003.
Other:
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. (reference text)
Clark Robinson. Dynamical Systems. Stability, Symbolic Dynamics and Chaos. 1995. (advanced textbook)
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