DE
Modul
Discrete Dynamical Systems [M-MATH-105432]
Credits
3Recurrence
UnregelmäßigDuration
1 SemesterLanguage
GermanLevel
4Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-110952 | Discrete Dynamical Systems | 3 |
Competence Certificate
The module will be completed by an oral exam (about 20 min).
Competence Goal
At the end of the course, students can
- name, discuss and apply fundamental statements of the theory of discrete dynamic systems,
- explain the meaning of dynamic systems using examples,
- describe and use specific techniques of topological dynamics.
Prerequisites
None
Content
- Discrete dynamical systems
- Chaotic dynamical systems
- Non-expansive mappings
- The Fürstenberg-Weiss theorem
- Cellular automata
- (Weakly) mixing dynamical systems
- Dynamics of linear operators
Recommendation
Basics of complex analysis (e.g. from Analysis 4) and functional analysis are recommended.
Workload
Total workload: 90 hours
Attendance: 30 hours
- lectures, problem classes, and examination
Self-studies: 60 hours
- follow-up and deepening of the course content,
- work on problem sheets,
- literature study and internet research relating to the course content,
- preparation for the module examination