Complex and Adaptive Dynamical Systems
Complex system theory deals with dynamical systems in a wide
range of disciplines showing non-trivial and/or emergent properties.
This course provides the relevant core knowledge. It is suitable
for all students having a basic math education.
Basic concepts and phenomena covered will include
- network theory: small-world, scale-invariant, percolating
- bifurcation theory, adaptive systems, deterministic chaos,
strange attractors, catastrophe theory
- information theory, Shannon entropy, mutual information, complexity
- cellular automata, self-organized criticality
Lecture notes and text book
The full (uncorrected) lecture
notes on CADS are freely available (of the old, second edition).
For the solutions of the exercises please consult the printed
book on CADS.
Since 2008 (second/third/fourth edition 2010/2013/2015) the entire course
is available as a
Springer textbook .
Table of Contents
- Chapter 1: Graph Theory and Small-World Networks
- Chapter 2: Bifurcations and Chaos in Dynamical Systems
- Chapter 3: Dissipation, Noise and Adaptive Systems
- Chapter 4: Self Oranizattion and Pattern Formations
- Chapter 5: Complexity and Information Theory
- Chapter 6: Cellular Automata and Self-Organized Criticality
- Chapter 7: Random Boolean Networks
- Chapter 8: Darwinian evolution, Hypercycles and Game Theory
- Chapter 9: Synchronization Phenomena
- Chapter 10: Elements of Cognitive System Theory
This lecture course is suitable for all students enrolled
in physics/neurosicences/informatics/biology courses
starting from the third year. Basic knowledge of differential
equations and probability theory is helpful.
|| Tue 10-12, Phys. 01.114
Thu 13-15, Phys, 01.114
| start: Tue, Apr. 18, 2017
| problem session
|| Thu 15-17, Phys. 02.201b (changed)|
| start: Thu, Apr. 27, 2017
requirements for a certificate (als Wahlpflichtfach mit 8 CP): |
- attend problem sesssions, do excerises (60%);
working in groups of 1-3 possible
- you may present a short research seminar (about 20min)
on a topic of your choice at the end of the course,
counting for up-to 15% of execerises
suggestions for seminar topics.
- dates for oral exams (sign up eventually with Mrs. Metz, 01.131)
- late July / early August
- late September / early October
If you have any question just contact
Hendrik is in office 01.141 and Philip in office 01.217
- Philip Trapp
click to show email
- Hendrik Wernecke
click to show email