The Rashevsky-Turing System: Two Coupled Oscillators as a Generic Reaction-Diffusion Model

  • M. Klein
  • G. Baier
  • O. E. Rössler
Conference paper


A two-compartment reaction-diffusion system is investigated both analytically and numerically. Owing to the system’s symmetry, a complete characterization of the three fixed points and their respective stability is achieved. Dependent on the coupling strength, different types of chaos can be observed in computer simulations. Some implications of the model are pointed out.


Chaotic Attractor Stable Node Basin Boundary Stable Fixed Point Bifurcation Scenario 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • M. Klein
    • 1
  • G. Baier
    • 1
  • O. E. Rössler
    • 1
  1. 1.Department of Theoretical ChemistryUniversity of TübingenTübingenGermany

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