© CeNoS

Introduction to nonlinear dynamics and self-organization

Nonlinear effects and collective phenomena that arise from the interaction of many parts can be observed in very different fields of science such as physics, chemistry, biology, medicine, engineering, social sciences or psychology. This includes abrupt transitions between states with completely different properties, multistability or the self-organized creation of spatial, temporal and spatiotemporal order or structures. The lecture is intended to introduce the modeling of such phenomena using examples from various fields of science and to explore the underlying common principles.

Learnwebsite of the lecture


  • Dates & Room

    Lecture:  Tue., 12:15–13:45 in room KP/TP 304

                          Start: 17.10.2023

    Tutorials: Details with respect to the tutorials will be given during the lecture.

  • Contents and Literature


    • Dynamical description of  natural processes
    • Stability
    • Bifurcations
    • Chaos
    • Principles of self-organization
    • Spatio-temporal pattern formation
    • Synchronization


    • Nonlinear Dynamics and Chaos, S. Strogatz, Perseus Books 1998
    • Essential Mathematical Biology, N. Britton, Springer 2003
    • Nonlinear Dynamics in Complex Systems, A. Fuchs, Springer 2013
    • Synergetics, H. Haken, Springer 2004
    • An Exploration of Dynamical Systems and Chaos, J. H. Argyris, G. Faust, M. Haase, R. Friedrich, Springer 2015