The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

401-3371-00L  Dynamical Systems I

SemesterAutumn Semester 2016
LecturersW. Merry
Periodicitynon-recurring course
Language of instructionEnglish



Catalogue data

AbstractThis course is a broad introduction to dynamical systems. Topic covered include topological dynamics, ergodic theory and low-dimensional dynamics.
ObjectiveMastery of the basic methods and principal themes of some aspects of dynamical systems.
ContentTopics 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])
LiteratureThe most relevant textbook for this course is

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

I will also produce full lecture notes.
Prerequisites / NoticeThe 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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersW. Merry
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Additional information on mode of examinationOffered in the winter examination session 2017 and in the summer examination session 2017. Be aware that no further examination might be offered until this non-recurring course will be offered again. Note also that the course was offered in the Autumn Semester 2015 as 401-3371-00L Dynamical Systems I.
Written aidsNone
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Courses

NumberTitleHoursLecturers
401-3371-00 VDynamical Systems I4 hrs
Mon13-15HG G 3 »
Thu08-10HG G 3 »
W. Merry
401-3371-00 UDynamical Systems I1 hrs
Wed15-16HG G 26.1 »
15-16HG G 26.5 »
W. Merry

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics Master(also Bachelor) Core Courses: Pure MathematicsWInformation