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Synergetics pp 191-223 | Cite as

Self-Organization

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

Abstract

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.

Keywords

Unstable Mode External Parameter Soft Mode Homogeneous Problem Stable Mode 
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.

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References

Organization

  1. H. Haken: unpublished materialGoogle Scholar

Self-Organization

  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. R. Landauer: IBM Journal 183 (July 1961) For a detailed discussion of reliability as well as switching, especially of computer elements, seeGoogle 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)Google 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

  1. H. Haken: unpublishedGoogle Scholar

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. B 22, 69 (1975);ADSCrossRefGoogle Scholar
  2. H. Haken: Z. Phys. B 23, 388 (1975)ADSGoogle Scholar

Scaling Theory of Continuously Extended Nonequilibrium Systems We follow essentially

  1. A. Wunderlin, H. Haken: Z. Phys. B 21, 393 (1975)ADSCrossRefGoogle Scholar

For related work see

  1. E. Hopf: Berichte der Math.-Phys. Klasse der Sächsischen Akademie der Wissenschaften, Leipzig XCIV, 1 (1942)Google Scholar
  2. A. Schlüter, D. Lortz, F. Busse: J. Fluid Mech. 23, 129 (1965)MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. A. C. Newell, J. A. Whitehead: J. Fluid Mech. 38, 279 (1969)ADSzbMATHCrossRefGoogle Scholar
  4. R. C. Diprima, W. Eckhaus, L. A. Segel: J. Fluid Mech. 49, 705 (1971)ADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

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

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