Skip to main content
SpringerLink
Log in

Synergetics Applied to Pattern Formation and Pattern Recognition

  • Chapter
Optimal Structures in Heterogeneous Reaction Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 44))

Abstract

Synergetics is the study and analysis of complex systems which are composed of many subsystems. These systems show the ability to selforganize spontaneously on macroscopic scales, i.e. we may observe highly ordered spatial, temporal, or spatio-temporal structures on scales which are much larger than the corresponding characteristic scales of the subsystems. As a result, we conclude that there must be very many subsystems coherently involved in order to produce these highly regular states on characteristic scales of the composed system. Synergetics offers a unified viewpoint to the emergence of such patterns and the underlying processes. Furthermore, powerful mathematical methods have been developed in this field to understand and predict the spontaneous occurrence of order, qualitatively as well as quantitatively.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Haken: “Synergetics. An Introduction” 3rd. edition, Springer, Berlin, Heidelberg 1983

    Google Scholar 

  2. H. Haken: “Advanced Synergetics”, Springer, Berlin, Heidelberg 1983

    Google Scholar 

  3. E. Basar, H. Flohr, H. Haken, A.J. Mandell (Eds.): “Synergetics of the Brain”, Springer, Berlin, Heidelberg 1984

    Google Scholar 

  4. A. Wunderlin, H. Haken: in “Synergetics - From Microscopic to Macroscopic Order”, Ed. E. Frehland, Springer, Berlin, Heidelberg 1982

    Google Scholar 

  5. W. Weidlich, G. Haag: “Concepts and Models of Quantitative Sociology” Springer, Berlin, Heidelberg 1982

    Google Scholar 

  6. A. Wunderlin, H. Haken: Z. Phys. B44, 135, (1981)

    Article  Google Scholar 

  7. H. Haken, A. Wunderlin: Z. Phys. B47, 179, (1982)

    Article  Google Scholar 

  8. M. Bestehorn: Dissertation Universität Stuttgart (1988)

    Google Scholar 

  9. D. H. Sattinger: “Group Theoretic Methods in Bifurcation Theory”, Lecture Notes in Mathematics Vol. 762, Springer, Berlin, Heidelberg 1979

    Google Scholar 

  10. H. L. Swinney and J.P. Gollub: “Hydrodynamic Instabilities and the Transition to Turbulence”, Topics in Applied Physics Vol. 45 Springer, Berlin, Heidelberg 1982

    Google Scholar 

  11. K. Marx and H. Haken: Europhys. Lett. 5, 315, (1988)

    Article  Google Scholar 

  12. K. Marx: Dissertation Universität Stuttgart (1987)

    Google Scholar 

  13. N.A. Phillips: J. Meteor. 8, 391, (1951)

    Article  Google Scholar 

  14. N.A. Phillips: Tellus 6, 273, (1954)

    Article  Google Scholar 

  15. H. Haken, W. Weimer: Z. Geomorph. N. F., Suppl.-Bd. 67, 103, (1988)

    Google Scholar 

  16. W. F. Langford, R. Tagg, E. J. Kostelich, H. Swinney, and M. Golubitsky: Phys. Fluids 31, 776, (1988)

    Article  Google Scholar 

  17. R. Friedrich, H. Haken: Phys. Rev. A34, 2100, (1986)

    Article  Google Scholar 

  18. R. Friedrich, H. Haken: in “The Physics of Structure Formation”, edited by W. Göttinger and G. Dangelmayr, Springer Berlin, Heidelberg 1987

    Google Scholar 

  19. V. Steinberg, E. Moses, J. Fineberg: Proceedings of the International Conference on “The Physics of Chaos and Systems Far From Equilibrium”, Nucl. Phys. B2, 109, (1987)

    Google Scholar 

  20. P. Kolodner, A. Passner, H. L. Williams, C. M. Surko: Proceedings of the International Conference on “The Physics of Chaos and Systems Far From Equilibrium”, Nucl. Phys. B2, 97, (1987)

    Google Scholar 

  21. M. Bestehorn, R. Friedrich, and H. Haken: Z. Phys. B72, 265, (1988)

    Article  Google Scholar 

  22. M. Bestehorn, R. Friedrich, and H. Haken: Z. Phys. B, to appear (1989)

    Google Scholar 

  23. A. Babloyantz: Strange Attractors in the Dynamics of Brain Activity, in “Complex Systems - Operational Approaches”, ed. by H. Haken, Springer, Berlin, Heidelberg 1985

    Google Scholar 

  24. A. Fuchs, R. Friedrich, H. Haken, and D. Lehmann: Spatio-Temporal Analysis of Multichannel a-EEG Map Series, in “Computational Systems - Natural and Artificial”, ed. by H. Haken, Springer, Berlin, Heidelberg 1987

    Google Scholar 

  25. H. Haken: Pattern Formation and Pattern Recognition - An Attempt at a Synthesis, in “Pattern Formation by Dynamical Systems and Pattern Recognition”, ed. by H. Haken, Springer, Berlin, Heidelberg 1979

    Chapter  Google Scholar 

  26. H. Haken: Computers for Pattern Recognition and Associative Memory, in “Computational Systems - Natural and Artificial”, ed. by H. Haken, Springer, Berlin, Heidelberg 1987

    Google Scholar 

  27. A. Fuchs and H. Haken: Biol. Cybern. 60, 17, (1988)

    CAS  Google Scholar 

  28. A. Fuchs and H. Haken: Biol. Cybern. 60, 107, (1988)

    Article  Google Scholar 

  29. H. Haken: Synergetics in Pattern Formation and Associative Action, in “Neural and Synergetic Computers”, ed. by H. Haken, Springer Berlin, Heidelberg 1988

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Fed. Rep. of Germany

    M. Bestehorn, R. Friedrich, A. Fuchs, H. Haken, A. Kuhn & A. Wunderlin

Authors
  1. M. Bestehorn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Friedrich
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Fuchs
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H. Haken
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. Kuhn
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. Wunderlin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Angewandte und Physikalische Chemie, Universität Bremen, Bibliothekstrasse, D-2800, Bremen 33, Fed. Rep. of Germany

    Peter J. Plath

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bestehorn, M., Friedrich, R., Fuchs, A., Haken, H., Kuhn, A., Wunderlin, A. (1989). Synergetics Applied to Pattern Formation and Pattern Recognition. In: Plath, P.J. (eds) Optimal Structures in Heterogeneous Reaction Systems. Springer Series in Synergetics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83899-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83899-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83901-6

  • Online ISBN: 978-3-642-83899-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation