back to search

Topics in Dynamical Systems: Computational Dynamics

CIT415303Elective Modules5 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You study the numerical computation of objects and phenomena of dynamical systems (e.g. fixed/periodic points, invariant manifolds, limit and recurrent sets), with operators such as transfer and Koopman operators and with scalar metrics (e.g. Lyapunov exponents, entropy, dimensions). In the end you can develop, analyze and apply suitable algorithms and make qualitative and quantitative statements about the behavior of given dynamical systems.

What you will be able to do

  • Understand and apply numerical methods for computing invariant objects
  • Analyze transfer and Koopman operators and their spectral structure
  • Calculation and interpretation of scalar metrics (Lyapunov exponents, entropy, dimensions)
  • Develop efficient algorithms with error estimation
  • Implementation and application of the methods to concrete examples

What the module consists of

  • LectureConveying theoretical foundations and algorithms
  • Exercise / TutorialWorking on problems and practical worksheets under supervision, focus on independent solving

Teaching method

  • Blackboard/Projector lecturePresentation of content and discussion to stimulate own analyses
  • Tutorial exercisesPractice of methods and creation of own solution approaches under supervision
No dates in the current semester
There are no course dates for this module this semester, or they haven't been matched yet.

Module ratings

No ratings for this module yet.

Rate this module

Only fill in the categories you can judge – for each one, either stars and text together or nothing at all.

Lecture
Tutorial
Exam

Reviews are automatically checked before they are published.

Official page in TUMonline · Details are not binding.