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The Significance of Nonlinear Phenomena for the Investigation of Cognitive Systems

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 62))

Abstract

There are good reasons for understanding the brain as a complex self-organizing system. Despite the fact that nonlinear phenomena are an indicator for self-organization they are only rarely reported in psychological research. Some possible explanations for that are discussed: The preference of homeostatic models, the lack of dynamic measurement and the tendency to reduce complex cognitive phenomena to elementary processes. The synergetic approach presents a model of brain-mind interaction. Synergetics postulate pattern recognition as an analogue to pattern formation. In that view cognitive processes are directly represented by the macrodynamics of the brain. In the article first nonlinearities in complex learning tasks (learning plateaus) are presented and interpreted as the emergence of a hierarchy of self-organizing order parameters. The second example of important nonlinearities in cognitive systems are multistable perceptions. Here we find that minimal semantic influences may affect the perceptual dynamics during the instable phase. A further field of nonlinearities in perception is represented by the hidden potential landscapes of homogeneous areas. Using the method of serial reproduction an attractor structure is revealed which is again sensitive to semantic influences. Finally it is demonstrated that even complex human actions may be analyzed as an attractor driven self-organizing process explaining sudden behavioral changes.

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References

  1. H. Haken & A. Wunderiin: Die Selbststrukturierung der Materie (Vieweg, Braunschweig 1991).

    Google Scholar 

  2. E. Basar, H. Flohr, H. Haken & A.J. Mandell (Eds.): Synergetics of the Brain (Springer, Berlin 1983).

    MATH  Google Scholar 

  3. H. Haken & M. Stadler (Eds.): Synergetics of Cognition (Springer, Berlin 1990).

    Google Scholar 

  4. W. Köhler: Jahresberichte für die gesamte Physiologie und experimentelle Pharmakologie 3, 512–539(1925).

    Google Scholar 

  5. M. Stadler & P. Kruse: Gestalt Theory 8, 75–98 (1986).

    Google Scholar 

  6. M. Stadler & P. Kruse: The Self-Organization Perspective in Cognition Research: Historical Remarks and New Experimental Approaches, in: Synergetics of Cognition, ed. by H. Haken & M. Stadler (Springer, Berlin 1990).

    Google Scholar 

  7. P. Kruse, G. Roth & M. Stadler: Gestalt Theory 9, 150–167 (1987).

    Google Scholar 

  8. K. Holzkamp: Psychologische Rundschau 21, 1–22 (1970).

    Google Scholar 

  9. G. Johansson: Configurations in Event Perception (Uppsala 1950).

    Google Scholar 

  10. H. Haken: Synergetics (Springer, Berlin 1977).

    Book  Google Scholar 

  11. M. Stadler & P. Kruse: Philosophical Psychology 6 (to be published 1993).

    Google Scholar 

  12. H. Haken: Pattern Formation and Pattern Recognition — An Attempt at a Synthesis, in: Pattern Formation by Dynamic Systems and Pattern Recognition, ed. by H. Haken (Springer, Beriin 1979).

    Chapter  Google Scholar 

  13. H. Haken, J.A.S. Kelso & H. Bunz: Biological Cybernetics 51, 347–356 (1985).

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Stadler, P.H. Richter, S. Pfaff & P. Kruse: Psychological Research 53, 102–112 (1991).

    Article  Google Scholar 

  15. D.L. Bryan & N. Harter: Psychological Review 4, 27–53 (1897).

    Article  Google Scholar 

  16. D.L. Bryan & N. Harter: Psychological Review 6, 345–375 (1899).

    Article  Google Scholar 

  17. D.V. Cross & H.L. Lane: Journal of the Experimental Analysis of Behavior 5, 487–496 (1962).

    Article  Google Scholar 

  18. P. Kruse: Delfm 6, 35–57 (1988).

    Google Scholar 

  19. T. Ditzinger & H. Haken: Biological Cybernetics 61, 279–287 (1989).

    Article  MathSciNet  Google Scholar 

  20. T. Ditzinger & H. Haken: Biological Cybernetics 63, 453–456 (1990).

    Article  Google Scholar 

  21. P. Kruse, M. Stadler & D. Strüber: Psychological Modification and Synergetic Modelling of Perceptual Oscillations. In: Rhythms in Physiological Systems, ed. by H. Haken & H.P. Koepchen (Springer, Berlin, 1991).

    Google Scholar 

  22. see note 16.

    Google Scholar 

  23. C.-F. Graumann: Zeitschrift für experimentelle und angewandte Psychologie 3, 605–661 (1956).

    Google Scholar 

  24. P. Kruse: Gestalt Theory 8, 141–143 (1986).

    Google Scholar 

  25. C. Basar-Eroglu, D. Stoiber, M. Stadler, P. Kruse & E. Basan Slow positive Potentials in the EEG during Multistable Visual Perception (submitted).

    Google Scholar 

  26. F.C. Bartlett: Remembering (University Press, Cambridge 1932).

    Google Scholar 

  27. B. Mandelbrot: The Fractal Geometry of Nature (Freeman, New York 1970).

    Google Scholar 

  28. H.-O. Peitgen & P. H. Richter: The Beauty of Fractals (Springer, Berlin 1986).

    Book  MATH  Google Scholar 

  29. F. C. Bartlett: The Mind at Woiic and Play (Allen & Unwin, London 1951).

    Google Scholar 

  30. J.J. Gibson: The Perception of the Visual World (Houghton Mifflin, Boston 1950).

    Google Scholar 

  31. see note 11.

    Google Scholar 

  32. W. Metzgen: Schöpferische Freiheit (Kramer, Frankfurt/M. 1962)

    Google Scholar 

  33. W. Metzgen: Psychologie in der Erziehung (Kamp, Bochum 1976).

    Google Scholar 

  34. K. Lewin: Principles of Topological Psychology (McGraw-Hill, New York 1936).

    Book  Google Scholar 

  35. T. Fabian & M. Stadien: Applying Chaos Theory to Delinquent Behavior in Psychosocial Stress Situations, in Psychology and Law, ed. by F. Lösel, D. Bender & T. Bliesener (De Gruyter, Berlin 1992).

    Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Kruse, P., Stadler, M. (1993). The Significance of Nonlinear Phenomena for the Investigation of Cognitive Systems. In: Haken, H., Mikhailov, A. (eds) Interdisciplinary Approaches to Nonlinear Complex Systems. Springer Series in Synergetics, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51030-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-51030-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-51032-8

  • Online ISBN: 978-3-642-51030-4

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