DE

Modul

Discrete Dynamical Systems [M-MATH-105432]

Credits
3
Recurrence
Unregelmäßig
Duration
1 Semester
Language
German
Level
4
Version
1

Responsible

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

  1. Discrete dynamical systems
  2. Chaotic dynamical systems
  3. Non-expansive mappings
  4. The Fürstenberg-Weiss theorem
  5. Cellular automata
  6. (Weakly) mixing dynamical systems
  7. 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