Complex and Adaptive Dynamical Systems
summer term 2021
The course will be fully online. Details will be
explained in the first lecture/tutorial.
Attendences to to the tutorials is mandatory. Please turn
your video on when interacting (discussions, questions, ..).
- Lehrevaluation: Tuesday, June 22:
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 lecture notes are posted further down. You may
also consult the corresponding textbook
Complex and Adaptive Dynamical Systems, a Primer .
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 Organization 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/neurosciences/informatics/biology courses
starting from the third year. Basic knowledge of differential
equations and probability theory is helpful.
|| Tue 10:15-12:00 (online)
Fri 9:30-11:00 (online)
| start: Tue, Apr. 13, 2021
| problem session
|| Fri 12:15-14:00 (online)
|| start: Fr, Apr. 16, 2021
requirements for a certificate (als Wahlpflichtfach mit 8 CP): |
- attend problem sessions, do exercises (60%);
working in groups of up to two students is possible
- you may do a project (theory and simulations) and present
the results as a short research seminar (about 20min)
at the end of the course,
counting for 20% of exercises;
suggestions for project topics.
- for a grade (benoteter Schein) there will be oral exams
If you have any questions just contact
Fabian and Oren are in office 01.141
- Fabian Schubert
click to show email
- Oren Neumann
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