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.
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References
Organization
H. Haken: unpublished material
Self-Organization
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)
The Role of Fluctuations: Reliability or Adaptability? Switching
For a detailed discussion of reliability as well as switching, especially of computer elements, see R. Landauer: IBM Journal 183 (July 1961)
R. Landauer: J. Appl. Phys. 33, 2209 (1962)
R. Landauer, J. W. F. Woo: In Synergetics, ed. by H. Haken (Teubner, Stuttgart 1973)
Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation
H. Haken: Z. Phys. B 20, 413 (1975)
Adiabatic Elimination of Fast Relaxing Variables from the Master Equation
H. Haken: unpublished
Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach. 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions
H. Haken: Z. Phys. B21, 105 (1975)
Higher-Order Contributions to Generalized Ginzburg-Landau Equations
H. Haken: Z. Phys. B22, 69 (1975);
H. Haken: Z. Phys. B23, 388 (1975)
For another treatment of the slaving principle see
A. Wunderlin, H. Haken: Z. Phys. B44, 135 (1981)
H. Haken, A. Wunderlin: Z. Phys. B47, 179 (1982)
Scaling Theory of Continuously Extended Nonequilibrium Systems
We follow essentially A. Wunderlin, H. Haken: Z. Phys. B21, 393 (1975)
For related work see E. Hopf: Berichte der Math.-Phys. Klasse der Sächsischen Akademie der Wissenschaften, Leipzig XCIV, 1 (1942)
For related work see A. Schlüter, D. Lortz, F. Busse. J. Fluid Mech. 23, 129 (1965)
For related work see A. C. Newell, J. A. Whitehead: J. Fluid Mech. 38, 279 (1969)
For related work see R. C. Diprima, W. Eckhaus, L. A. Segel: J. Fluid Mech. 49, 705 (1971)
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© 1983 Springer-Verlag Berlin Heidelberg
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Haken, H. (1983). Self-Organization. In: Synergetics. Springer Series in Synergetics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88338-5_7
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DOI: https://doi.org/10.1007/978-3-642-88338-5_7
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