401-3371-00L Dynamical Systems I
|Semester||Autumn Semester 2016|
|Language of instruction||English|
|Abstract||This course is a broad introduction to dynamical systems. Topic covered include topological dynamics, ergodic theory and low-dimensional dynamics.|
|Objective||Mastery of the basic methods and principal themes of some aspects of dynamical systems.|
|Content||Topics covered include:|
1. Topological dynamics
(transitivity, attractors, chaos, structural stability)
2. Ergodic theory
(Poincare recurrence theorem, Birkhoff ergodic theorem, existence of invariant measures)
3. Low-dimensional dynamics
(Poincare rotation number, dynamical systems on [0,1])
|Literature||The most relevant textbook for this course is|
Introduction to Dynamical Systems, Brin and Stuck, CUP, 2002.
I will also produce full lecture notes.
|Prerequisites / Notice||The material of the basic courses of the first two years of the program at ETH is assumed. In particular, you should be familiar with metric spaces and elementary measure theory.|