Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.
Please read the published information on the individual courses carefully.

Will Merry: Catalogue data in Spring Semester 2017

Name Prof. Dr. Will Merry
Professur für Mathematik
ETH Zürich, HG J 56
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 30 16
RelationshipAssistant Professor

401-3372-00LDynamical Systems II10 credits4V + 1UW. Merry
AbstractThis course is a continuation of Dynamical Systems I. This time the emphasis is on hyperbolic dynamics.
ObjectiveMastery of the basic methods and principal themes of some aspects of hyperbolic dynamical systems.
ContentTopics covered include:

- Circle homeomorphisms and rotation numbers.
- Hyperbolic linear dynamical systems, hyperbolic fixed points, the Hartman-Grobman Theorem.
- Hyperbolic sets, Anosov diffeomorphisms.
- The (Un)stable Manifold Theorem.
- Shadowing Lemmas and stability.
- The Lambda Lemma.
- Transverse homoclinic points, horseshoes, and chaos.
Lecture notesI will provide full lecture notes, available here:
LiteratureThe most useful textbook is

- Introduction to Dynamical Systems, Brin and Stuck, CUP, 2002.

Another (more advanced) useful book is

- Introduction to the Modern Theory of Dynamical Systems, Katok and Hasselblatt, CUP, 1995.
Prerequisites / NoticeIt will be assumed you are familiar with the material from Dynamical Systems I. Full lecture notes for this course are available here:

However we will only really use material covered in the first 12 lectures of Dynamical Systems I, so if you did not attend Dynamical Systems I, it is sufficient to read through the notes from the first 12 lectures.

In addition, it would be useful to have some familiarity with basic differential geometry.