SUBJECT
Title
Computer simulations of complex systems
Type of instruction
lecture
Level
master
Faculty
Part of degree program
Credits
3
Recommended in
Semester 2
Typically offered in
Spring semester
Course description
Complex systems in general. Simulating and analysing omplex networks. Generating Erdős-Rényi graphs, small world and scale free networks. Algorithms for degree distributions, graph diameter, percolation, adjacency matrix spectrum, cliques. Robustness of graphs. Simulating chaotic dynamics, measuring Lyapunov exponent and dimension of strange attractor. Cellular automata. Neural networks, Hopfield model, perceptron.
Readings
required readings:
- Claudius Gros: Complex and Adaptive Dynamcial Systems, Springer; 1st ed.2008. Corr. 2nd printing edition (July 1, 2009)