Synergetics pp 191-227 | Cite as


Long-Living Systems Slave Short-Living Systems
  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN, volume 1)


In this chapter we come to our central topic, namely, organization and self-organization. Before we enter into the mathematical treatment, let us briefly discuss what we understand by these two words in ordinary life.


Unstable Mode Soft Mode Stable Mode Fluctuate Force Nonequilibrium Phase Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



  1. H. Haken: unpublished materialGoogle Scholar


  1. A different approach to the problem of self-organization has been developed by J. v. Neuman: Theory of Self-reproducing Automata, ed. and completed by Arthur W. Burks (University of Illinois Press, 1966)Google Scholar

The Role of Fluctuations: Reliability or Adaptability? Switching

  1. For a detailed discussion of reliability as well as switching, especially of computer elements, see R. Landauer: IBM Journal 183 (July 1961)Google Scholar
  2. R. Landauer: J. Appl. Phys. 33, 2209 (1962)ADSCrossRefGoogle Scholar
  3. R. Landauer, J. W. F. Woo: In Synergetics, ed. by H. Haken (Teubner, Stuttgart 1973)Google Scholar

Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation

  1. H. Haken: Z. Phys. B 20, 413 (1975)ADSCrossRefGoogle Scholar

Adiabatic Elimination of Fast Relaxing Variables from the Master Equation

  1. H. Haken: unpublishedGoogle Scholar

Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach. 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions

  1. H. Haken: Z. Phys. B21, 105 (1975)ADSGoogle Scholar

Higher-Order Contributions to Generalized Ginzburg-Landau Equations

  1. H. Haken: Z. Phys. B22, 69 (1975);ADSGoogle Scholar
  2. H. Haken: Z. Phys. B23, 388 (1975)ADSGoogle Scholar
  3. For another treatment of the slaving principle seeGoogle Scholar
  4. A. Wunderlin, H. Haken: Z. Phys. B44, 135 (1981)MathSciNetADSCrossRefGoogle Scholar
  5. H. Haken, A. Wunderlin: Z. Phys. B47, 179 (1982)MathSciNetADSCrossRefGoogle Scholar

Scaling Theory of Continuously Extended Nonequilibrium Systems

  1. We follow essentially A. Wunderlin, H. Haken: Z. Phys. B21, 393 (1975)ADSGoogle Scholar
  2. For related work see E. Hopf: Berichte der Math.-Phys. Klasse der Sächsischen Akademie der Wissenschaften, Leipzig XCIV, 1 (1942)Google Scholar
  3. For related work see A. Schlüter, D. Lortz, F. Busse. J. Fluid Mech. 23, 129 (1965)MathSciNetADSzbMATHCrossRefGoogle Scholar
  4. For related work see A. C. Newell, J. A. Whitehead: J. Fluid Mech. 38, 279 (1969)ADSzbMATHCrossRefGoogle Scholar
  5. For related work see R. C. Diprima, W. Eckhaus, L. A. Segel: J. Fluid Mech. 49, 705 (1971)ADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische PhysikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

Personalised recommendations