Course outline

MAT1835 Dynamical Systems

Instructor: Ke Zhang

Office: PG 200B

Time and place : M 12-1 and 2-3; W 12-1, BA6180

Office hours: Wednesday 1:30-3:30 or by appointments.

Grading

Problem sets and final presentation. I will provide (and update) a list of suggested topics for final presentation. You are welcome to suggest your own related topic.

References

Michael Brin and Garrett Stuck, *Introduction to dynamical systems*, Cambridge University Press.

Anatole Katok and Boris Hasselblatt, *Introduction to the modern theory of dynamical systems*, Cambridge University Press.

Karl Friedrich Sigburg, * The principle of least action in Geometry and dynamics. * Springer .

Lecture notes

I will try to type up most of the topics covered in the lectures. The following dropbox file will be constantly updated.

Old Lecture notes

Lecture notes from last offering. I plan to revise and incorporate these notes with the above file.

Notes on Hadamard-Perron Theorem: pdf.

Notes on smooth linearization and normal forms: pdf.

Notes on KAM Theorem: pdf

Problem sets

Problem set 1 Link.