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.
KeywordsUnstable Mode Soft Mode Stable Mode Fluctuate Force Nonequilibrium Phase Transition
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- H. Haken: unpublished materialGoogle Scholar
- 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
Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation
Adiabatic Elimination of Fast Relaxing Variables from the Master Equation
- 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
Higher-Order Contributions to Generalized Ginzburg-Landau Equations
- For another treatment of the slaving principle seeGoogle Scholar
Scaling Theory of Continuously Extended Nonequilibrium Systems
- For related work see E. Hopf: Berichte der Math.-Phys. Klasse der Sächsischen Akademie der Wissenschaften, Leipzig XCIV, 1 (1942)Google Scholar