Modul

The module will be completed by an oral exam (ca. 30 min).

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.

none

• 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

The module 'Functional Analysis' is recommended.

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