Topics in Dynamical Systems

What it is about

You engage with a selected, advanced topic of the theory of dynamical systems (e.g., stochastic systems, multi-scale dynamics, numerical methods, special classes such as one-dimensional maps or infinite-dimensional systems). In the end you will be able to understand, apply, and assess the relevant concepts, methods, or numerical procedures for concrete systems.

What you will be able to do

• Understanding of fundamentals and advanced concepts of dynamics
• Application and evaluation of specific concepts such as Morse decompositions or stochastic perturbation theory
• Conducting and evaluating analyses with set-oriented numerical methods
• Deriving and applying algorithms to concrete examples
• Formulation of qualitative and quantitative statements about the system behavior

What the module consists of

• Lectureweekly lectures introducing and conveying the focus topic
• Tutorial/Seminaraccompanying exercise sessions with problems for independent solving under guidance

Teaching method

• Blackboard Lecturefor the step-by-step presentation of content and derivations
• Discussionto deepen the topic together and encourage students to analyze on their own
• Exercises in Tutorialto promote independent application of the material