Topics in Dynamical Systems: Network Dynamics

What it is about

The module covers dynamic processes on and from networks. You will learn the basics, models (e.g., Kuramoto-type), random graphs, stochastic descriptions and applications such as epidemics or neural networks as well as related analytical methods. By the end you will be able to analyze given network dynamics with appropriate concepts or algorithms and make qualitative and quantitative statements about the dynamics.

What you will be able to do

• Deeper understanding of an advanced topic in dynamical systems
• Applying concepts and algorithms to analyze given dynamical systems
• Make quantitative and qualitative conclusions about system dynamics
• Knowledge of relevant models (e.g., Kuramoto, contact processes, Vlasov-Fokker-Planck, Graphons)

What the module consists of

• LecturePresentation of content on the board and discussion to convey the fundamentals and methods
• Exercise/TutorialProblem solving under supervision; focus on independent solving of problem sets

Teaching method

• Chalk-and-talk lecturefor the step-by-step development of theory and to stimulate own analyses
• Discussion with studentsto deepen and reflect on the content
• Tutoring sessions with exercisesfor independent application and practice of the methods