Network Dynamics

(An English-language class)

This course is over.

Lectures (4 SWS/6 ECTS)

This course is devoted to a mathematical and computational study of mechanisms governing the dynamics of network change. A specific emphasis lies on communication networks and social interaction. Topics further include analysis and simulation of phase spaces.

Affinity for mathematics is required for this class.

Times 

Lectures:Wednesday, 10:15-11:45, M 628 (Sven Kosub)
Thursday, 10:15-11:45, D 210 (Sven Kosub)
Oral exams:February 2012, TBA (1st date)
April 2012, TBA (2nd date)

Content

The following topics are planned:

  • Networks
  • Case studies
  • Phase spaces
  • Ensembles
  • Simulation
  • Reverse Engineering

Lecture Notes

Lecture notes are made available close in time to the lectures. The current version can be downloaded here. In case you have suggestions or comments (typos or any kind of errors) please send an email.

Literature

The course is mainly based on research papers which are not yet covered in a textbook appropriate for computer scientists. In-depth and background material of certain course aspects can be found in:

  • Henning S. Mortveit, Christian M. Reidys: An Introduction to Sequential Dynamical Systems. Springer, New York, NY, 2008.
  • Stuart A. Kauffman. The Origins of Order. Self-Orzganization and Selection in Evolution. Oxford University Press, Oxford, 1993.
  • Yaneer Bar-Yam. Dynamics of Complex Systems. The Advanced Book Program, Addison Wesley, Reading, MA, 1997.
  • Heinz Georg Schuster. Deterministic Chaos. VCH, Weinheim, 1994.
  • Stephen Wolfram. A New Kind of Science. Wolfram Media, Champaign, IL, 2002.