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T6: Nonlinear Dynamics and Pattern Formation – Overview

Lecturer

News

  • Exam results online more
  • Please note: The tutorial on Friday, July 23rd is cancelled!
  • Review of Exam more

All News

General Information:

Date and Location:

Monday 10-12 (s.t.),
Wednesday 14-16 (c.t.) ,
Theresienstraße 37, A 349, 3rd floor

Topics

  • Bifurcation Theory
  • Excitable Media
  • Linear Stability Analysis of Pattern-Forming Systems
  • Nonlinear States and Amplitude Equations
  • Evolutionary Game Theory
  • Complex Networks
  • Population Dynamics
  • Evolution
  • Morphogenesis

Projects

There will be small research projects (to come).

Literature

  • H. Meinhardt, The Algorithmic Beauty of Sea Shells, Springer Verlag Mathematical (Introductory)
  • S.H. Strogatz, Nonlinear Dynamics and Chaos, Westview Press (Introductory)
  • M. Cross and H. Greenside, Pattern Formation and Dynamics in Nonequilibrium Systems, Cambridge University Press (Advanced)
  • S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer Verlag (Advanced)

Additional reading material

Getting access to online journals using a LRZ PAC-server: LRZ tutorial

  • Hibbing et al. Bacterial competition: surviving and thriving in the microbial jungle.
    Nat Rev Micro (2010) vol. 8 (1) pp. 15-25
  • Frey and Reichenbach, Bacterial Games,
    book chapter to be published within the series THE FRONTIERS COLLECTION, Springer Verlag. [PDF]
  • Frey, Evolutionary Game Theory: Theoretical Concepts and Applications to Microbial Communities,
    accepted at: Physica A [PDF]