Module MA4400-KP05
Chaos and Complexity (ChaKomKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Master Biophysics 2019, optional subject, Elective
- Bachelor CLS 2016, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
Classes and lectures:
- Chaos and Complexity (exercise, 1 SWS)
- Chaos and Complexity (lecture, 2 SWS)
Workload:
- 20 hours exam preparation
- 45 hours in-classroom work
- 85 hours private studies and exercises
Contents of teaching:
- Time-discrete dynamical systems and stochastic processes
- Nonlinearity and chaos
- Ergodicity
- Symbolic dynamics
- Information-theoretic complexity measures
- Ordinal time series analysis
- Biological and medical applications, in particular EEG analysis
Qualification-goals/Competencies:
- Students get insights into basic aspects of nonlinear dynamics
- They have skills in analyzing and modeling complex data and time series
- They have competencies in simulating and illustrating nonlinear dynamic phenomena
Grading through:
- Written or oral exam as announced by the examiner
Responsible for this module:
Literature:
- M. Brin, G. Stuck : Introduction to Dynamical Systems Cambridge University Press 2002
- J. M. Amigó : Permutation Complexity in Dynamical Systems Springer 2010
- R. L. Devaney : An Introduction to Chaotic Dynamical Systems Westview Press 2003
Language:
- depends on the chosen courses
Notes:
Admission requirements for taking the module:- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester
Module exam(s):
- MA4400-L1: Chaos and Complexity, oral exam, 30 min, 100 % of module grade
Lecture notes in English
Last Updated:
22.02.2022