Fakultät für Physik




Nonlinear Dynamics – Overview


Organization of the lecture:

  • If not stated otherwise, the lecture takes place on
    • Wednesday, 10:00 c.t. - 12:00
    • Thursday, 10:00 c.t. - 12:00    

      in room A348/349, Theresienstr. 37
  • Credits: 4 SWS lecture + 2 SWS exercise class, 9 ECTS
  • Office hours: Friday 13:00 - 15:00 (please arrange an appointment in advance)


  • Bifurcation Theory
  • Excitable Media
  • Evolutionary Game Theory
  • Population Dynamics
  • Pattern Formation
  • Chaos


Many systems in nature spontaneously form nontrivial spatial structures: ice flowers on a window or ripples on a beach are simple examples of large scale patterns that occur in nature, but there are also numerous examples of spontaneous pattern formation that occur in non-equilibrium systems in physics, astronomy, chemistry and biology. The behavior of such systems is often highly nonlinear, and hence their description usually involves nonlinear analysis, in particular the analysis of nonlinear partial differential equations. This course will give an introduction to both the phenomena that are encountered, as well as to some of the theoretical models introduced for them and the mathematical techniques needed to analyze their nonlinear behavior.


  • Nonlinear Dynamics and Chaos, S. H. Strogatz, Westview Press
  • Introduction to Applied Nonlinear Dynamical Systems and Chaos, S. Wiggins, Springer
  • Differential Equations and Dynamical Systems, L. Perko, Springer
  • Pattern Formation and Dynamics in Nonequilibrium Systems, M. Cross and H. Greenside, Cambridge University Press
  • more to come