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Modul
Dynamical Systems [M-MATH-103080]
Credits
8Recurrence
UnregelmäßigDuration
1 SemesterLanguage
GermanLevel
4Version
1Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-106114 | Dynamical Systems | 8 |
Competence Certificate
The module will be completed by an oral exam (ca. 30 min).
Competence Goal
Graduates will be able to
- explain the significance of dynamical systems using examples,
- relate the concepts of a discrete-time and continuous-time dynamical system to each other,
- describe important methods for analyzing dynamical systems and use them to analyze the asymptotic behavior of solutions near equilibria for different dynamical systems,
- describe the behavior of invariant sets under discretization.
Prerequisites
none
Content
- Examples of finite- and infinite-dimensional dynamical systems
- Fixed points, periodic orbits, limit sets
- Invariant sets
- Attractors
- Upper and lower continuity of attractors
- Stable and unstable manifolds
- Center manifolds
Recommendation
The module 'Functional Analysis' is recommended.
Workload
Total workload: 240 hours
Attendance: 90 hours
- lectures, problem classes, and examination
Self-studies: 150 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