On the Slaving Principle

  • A. Wunderlin
Part of the Springer Proceedings in Physics book series (SPPHY, volume 19)


Synergetics has been founded by Hermann Haken in 1970 as a new scientific discipline [1,2]. Synergetics introduces a unified point of view to open systems which are composed of many subsystems. These systems show the ability of spontaneous self-organization on macroscopic scales. As a result of self-organization processes we may observe highly ordered spatial, temporal, or spatio-temporal patterns, or coherent functioning of these systems. If, for example, we characterize the subsystems through a length scale and assume that a typical length of the composed system is provided by L, the hierarchy between different scales may be expressed in the form ≪ L.


Linear Stability Analysis Unstable Mode Macroscopic Scale Collective Mode External Parameter 
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  1. [1]
    H. Haken: “Synergetics. An Introduction” 3rd. edition, Springer-Verlag Berlin-Heidelberg-New York (1983)MATHGoogle Scholar
  2. [2]
    H. Haken: “Advanced Synergetics”, Springer-Verlag Berlin- Heidelberg-New York-Tokyo (1983)MATHGoogle Scholar
  3. [3]
    H. Haken: “Non-linear Interactions of Laser Modes”, Talk given at the International Conference on Optical Pumping, Heidelberg (1962)Google Scholar
  4. [4]
    H. Haken, A. Wunderlin: “A Macroscopic Approach to Synergetics” MIDIT Workshop TU of Denmark, Lyngby (1986), in pressGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • A. Wunderlin
    • 1
  1. 1.Institute of Theoretical Physics and SynergeticsUniversity of StuttgartStuttgart 80Fed. Rep. of Germany

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