Embedded Files
Lectures: Dienstag 11:15 -- 12:45, SG 3-11
Lab: (every second) Mittwotch 13:15 -- 14:45, SG 3-14
Books:
1. Pilyugin, Sergei. Spaces of dynamical systems. De Gruyter, Berlin, 2012.
2. Katok, Anatole; Hasselblatt, Boris. Introduction to the modern theory of dynamical systems. Cambridge, 1995.
3. Brin, Michael; Stuck, Garrett. Introduction to dynamical systems. Cambridge, 2002.
Questions
Exercises
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Excercise 8 was not given
Excercise 9
Excercise 10
Excercise 11
Excercise 12
1. Cascades and flows.
2. Fixed points, periodic points.
3. Symbolic dynamics, Smale's horshoe.
4. Equivalence relations, conjugacy.
5. Hyperbolic points and sets.
6. Stable and unstable manifolds.
7. Structural Stability and shadowing.
Dynamical systems are concerned with evolutionary processes. Some examples of dynamical systems are celestian mechanics and population dynamics. In this course we study basic properties of smooth dynamical systems, mostly related to the long-time behaviour.
The following topics will be covered in the course:
Page updated
Google Sites
Report abuse