What are Patterns?

  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN, volume 50)


These sentences by the famous mathematician Norbert Wiener may serve us as a first guideline in defining a pattern. The idea that the nature of the elements is irrelevant for a pattern raises an important issue; namely, a pattern is defined on a specific length scale, on which the nature of the elements is irrelevant. Clearly we may focus our attention on the structure of these elements, but then the elements become the pattern and in turn are composed of still smaller elements. Rather than attempting a final definition of a pattern, let us consider instead a series of examples.


Nuclear Magnetic Resonance Spectrum Epileptic Seizure Nuclear Spin High Energy Collision Electrical Brain Activity 
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  1. A. Babloyantz: In Complex Systems — Operational Approaches, ed. by H. Haken, Springer Ser. Syn. Vol. 31 ( Springer, Berlin, Heidelberg 1985 )Google Scholar
  2. C. N. Banwell: Fundamentals of Molecular Spectroscopy (McGraw-Hill, London 1983 ) F. Close, M. Marten, Ch. Sutton: Spurensuche im Teilchenzoo (Spektrum der Wissenschaft, Verlagsgesellschaft, Heidelberg 1989 )Google Scholar
  3. M.C. Escher: Graphik und Zeichnungen ( Heinz Moos, München 1975 )Google Scholar
  4. A. Fuchs, H. Haken: In Dynamic Patterns in Complex Systems, ed. by J.A.S. Kelso, A.J. Mandell, M. F. Shlesinger ( World Scientific, Singapore 1988 )Google Scholar
  5. H. Grohe: Otto-und Dieselmotoren, 9th ed. ( Vogel, Würzburg 1981 )Google Scholar
  6. W. Landscheidt, A. Schlüter: Bauzeichnungen, 9th ed. ( Bauverlag, Wiesbaden, 1977 )Google Scholar
  7. D. Lehmann: Private communicationGoogle Scholar
  8. J. Lissner: Radiologie I, 3rd. ed. ( Ferdinand Enke, Stuttgart 1986 )Google Scholar
  9. G.K. Scheibelreiter: Naturwissenschaftliche Rundschau 10 (1979)Google Scholar
  10. P. Thurn, E. Bücheler: Einführung in die Röntgendiagnostik, 7th ed. ( Thieme, Stuttgart 1982 )Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische Physik und SynergetikUniversität StuttgartStuttgartGermany

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