In my lectures I should like to give a brief outline of some basic ideas of synergetics. Then I shall present some of our recent results obtained by an application of our mathematical methods. The word SYNERGETICS is composed of two greek words and means COOPERATION. What we study in this field is the cooperation of individual parts of a system so that a self-organized formation of spatial, temporal, or functional structures on macroscopic scales becomes possible. In particular we shall ask whether there are general principles which govern self-organization irrespective of the nature of the individual subsystems which may be electrons, molecules, photons, biological cells, animals, or even humans. In these lectures I shall focus my attention on the application of the general ideas of synergetics to the natural sciences, and here especially physics. But it might be note worthy that such concepts have been applied to other branches of science as well, such as economy, sociology, and behavioral sciences.


Rayleigh Number Chaotic Motion Period Doubling Instability Point Mesoscopic Level 
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  1. 1.
    H. Haken, “Synergetics. An Introduction. Nonequi1ibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology” Third Revised and Enlarged Edition Springer Verlag, Berlin, Heidelberg, New York, Tokyo 1983.Google Scholar
  2. 2.
    H. Haken, “Advanced Synergetics. Instability Hierarchies of Self-Organizing Systems and Devices” Springer Verlag Berlin, Heidelberg, New York, Tokyo 1983.MATHGoogle Scholar
  3. 3.
    H. Haken, “Laser Theory” Encyclopedia of Physics Vol. XXV/2C, Springer Verlag Berlin, Heidelberg, New York 1970, reprinted 1983.CrossRefGoogle Scholar
  4. 4.
    J.L. Ibanez, M.G. Velarde, J.Non-Equi1ib.Thermodyn. Vol.3, 63 (1978).ADSCrossRefGoogle Scholar
  5. 4a.
    Ch. Berding and H. Haken, J.Math.Biol. 14, 133 (1982).MathSciNetMATHCrossRefGoogle Scholar
  6. 5.
    An analogy between laser with saturable absorber and convection instability of fluids has been demonstrated by V. Degiorgio and L.A. Lugiato, Phys.Letters 77A, no 2.3 (1980)Google Scholar
  7. 5a.
    M.G. Velarde in “Evolution of Order and Chaos in Physics, Chemistry, and Biology,” ed. H. Haken Springer Verlag Berlin, Heidelberg, New York 1982 where further references are given.Google Scholar
  8. 6.
    Laser light chaos was predicted using the analogy with the Lorenz — model of fluid dynamics by H. Haken Phys. Letters 53A, no 1 (1975).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • H. Haken
    • 1
  1. 1.Institut für theoretische PhysikUniversität StuttgartGermany

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