The topics considered for the
course include:
1- Basic examples and concepts in
dynamics
2- Topological and symbolic dynamics
Introduction to Dynamical Systems
3- Ergodic Theory
4- Hyperbolic dynamics
5- Dynamics in low-dimensions
A reference for the course is:
M. Brin, G. Stuck,
Introduction to dynamical
systems. Cambridge University Press.
This course is a part of a one-year program,
aimed at introducing topics in low dimensional
topology and dynamical systems to starting
graduate students and advanced undergraduates.
See
TSM and
TSM2 for other courses in
the program.