Complex and Adaptive Dynamical Systems
C. Gros, summer-term 2015
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 edition 2010/2013) the entire course
is available as a
Springer textbook .
Table of Contents
- Chapter 1: Graph Theory and Small-World Networks
- Chapter 2: Chaos, Bifurcations and Diffusion
- Chapter 3: Complexity and Information Theory
- Chapter 4: Random Boolean Networks
- Chapter 5: Cellular Automata and Self-Organized Criticality
- Chapter 6: Darwinian evolution, Hypercycles and Game Theory
- Chapter 7: Synchronization Phenomena
- Chapter 8: 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. 14, 2015
| problem session
|| Wed 8-10, Phys. __.102 |
| start: Wed, Apr. 22, 2013
| problem session includes possibility for
small research projects und student seminars
» Schein für ein Arbeitsgruppenseminar (BA/MA)
requirements for a certificate (als Wahlpflichtfach mit 8 CP): |
- attend problem sesssions, do excerises
- a short seminar (about 20min) on a topic of your choice
during the tutorials:
suggestions for seminar topics .
for the talks.
- dates for oral exams (sign up with Mrs. Kolokotsa, 01.131)
- Tuesday, July 28
- Tuesday, October 6
If you have any question just contact
Bulcsu and Hendrik (both are in the office 01.141)
will also help you to find a subject for your
- Bulcsu Sandor (email@example.com,
- Hendrik Wernecke (firstname.lastname@example.org,