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The Role of Chaos in Reliable Information Processing

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Book cover Synergetics of the Brain

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 23))

Abstract

A problem of fundamental importance in the design of “self”-organizing systems is the “theoretical minimum” amount of hardware complexity (CH) necessary to drive a given functional repertoire (software complexity CS). In general it is assumed that the curve CH = f(CS) is a monotonically rising one with steepness depending on the specific “wiring mechanism” or the architecture of the given system. This conviction comes traditionally from the communication engineering practice where the act of information processing includes a sequence of an “expansion” and a “contraction” of the dimensionality of the state space, i.e., a proliferation and a subsequent compression of the degrees of freedom of the transmitted message.

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References

  1. Adey, W.R: In “The Neurosciences: A Study Program” F.O. Schmitt (Ed) New York, Rockefeller Univ.Press, p.181 (1970)

    Google Scholar 

  2. Adey, W.R.: Int.J.Neurosci. 3, 271 (1972)

    Article  Google Scholar 

  3. Adey, W.R.: In “The Mind: Biological Approaches to its Function” (Corning and Balaban, Eds.) N.Y.Wiley, p.69 (1968)

    Google Scholar 

  4. Elul, R.: Science 164, 328 (1969)

    Article  ADS  Google Scholar 

  5. In “Progress in Biomedical Eng.” (L.Pogel, Ed.), Washington D.C. Spartan Books p.131 (1966)

    Google Scholar 

  6. Elul, R.: In “Data Acquisition and Processing in Biology and Medicine” (Enslein, Ed.) Oxford, Pergamon Press, p. 99 (1968)

    Google Scholar 

  7. Elul, R.: In “Synchronization of EEG Activities in Epilepsies” (H. Petsche, M. Brazier, Eds.) Springer Verlag New York, p.59 (1972)

    Google Scholar 

  8. Verzeano, M.: In “Synchron of EEG Activities in Epilepsies” H. Petsche, M. Brazier, Eds.) Springer Verlag, New York, p.154 (1972)

    Google Scholar 

  9. Moruzzi, G., Magoun, H.W.: Clin.Neurophysiol. 1, 455 (1949)

    Google Scholar 

  10. Scheibel, M.E., Scheibel, A.B.: In “The Thalamus” (D.P. Purpura, M.D.Yahr, Eds.) New York, Columbia, Univ.Press (1966)

    Google Scholar 

  11. Nicolis, J.S., Benrubi, M.: J.Theor.Biol.59, 77 (1976)

    Article  Google Scholar 

  12. Ni colis, J.S., Nicolis, G., Benrubi, M.: In “Proc. of the First Int. Conf. on Info. Sci. and Systems” 2, 569, Tzannes, N., Laniotis, D. (Eds.) Hemishere Press, London (1977)

    Google Scholar 

  13. Nicolis, J.S., Benrubi, M.: General Systems XXII, p.119 (1977)

    Google Scholar 

  14. Nicolis, J.S., Galanos, G., Protonotarios, E.M.: Int.J.of Control 18,1009 (1973)

    Article  MATH  Google Scholar 

  15. Pikovsky, A.S., Rabinovich, M.I.: Physica 2D,8 (1981)

    MathSciNet  ADS  Google Scholar 

  16. Guckenheimer, J.: Physica 1D, p.227 (1980)

    MathSciNet  ADS  Google Scholar 

  17. May, R.M.: Int. Conf. on Nonlinear Dynamics N.Y. 17–21 Dec. Ann. N.Y.Sci. 357, (1981)

    Google Scholar 

  18. Bunow, B., Weiss, G.H.: Math. Biosc. 47, 221 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  19. Glass, L., Perez, R.: Nature 246, 360 (1973)

    Article  ADS  Google Scholar 

  20. Sejnowski, T.J.: J.Math.Biol.4, 303 (1977)

    Article  Google Scholar 

  21. Nicolis, J.S., Protonotarios E.N, Theologou, M.: Int.J. of Man.-Mach.Studies 10, 343 (1978)

    Article  MATH  Google Scholar 

  22. Kilmer, W.L., Mc Culloch, W.S., Blum, J.: In “The Mind: Biological Approaches to its Function” (Corning and Balaban Eds.) Wiley p.177 (1968)

    Google Scholar 

  23. Machlup, S., Sluckin, T.J.: J.Theor.Biol. 84,119–134 (1980)

    Article  MathSciNet  Google Scholar 

  24. Manneville, P., Pomeau, Y.: Physica 1D, 219–226 (1980)

    MathSciNet  ADS  Google Scholar 

  25. Pomeau, Y.,: In “Bifurcation Phenomena in Mathematical Physics and Related Topics” C. Bardos, Bessis, D. (Eds.) (1980) p.155–162, D.Reidel Publish.Co.

    Google Scholar 

  26. Hutt, S.J., Fairweather, H.: Electoenc. and Clin. Neurophysiol. 39,43–51 (1975)

    Article  Google Scholar 

  27. Chaitin, G.: Sci. American May p.47–55 (1975)

    Google Scholar 

  28. Nicolis, J.S., Protonotarios, E.N.: Int.Journal of Biomedical Computing 10, 417–447 (1979)

    Article  Google Scholar 

  29. Nicolis, J.S., Protonotarios, E.N.: Int.J.Systems Sci. Vol.11,No.1,107–127 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  30. Nicolis, G., Prigogine, I.: “Self Organization of Non-Equilbrium System” Wiley New York (1977)

    Google Scholar 

  31. Ueda, Y., Akamazsu, N.: IEEE Trans. on Circuits and Syst. 28,No.3, 217 (1981)

    Article  ADS  Google Scholar 

  32. Shaw, R.: Z.Naturforsch. 36a, 80 (1981)

    ADS  Google Scholar 

  33. Packard, N.H., Cruchfield, J.P., Farmer, J.D., Shaw, R.S.: Phys.Rev.Lett. 45,No.9, 712 (1980)

    Article  ADS  Google Scholar 

  34. Mori, H.: Progr.Theor.Phys. 63,1044 (1980)

    Article  ADS  MATH  Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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Nicolis, J.S. (1983). The Role of Chaos in Reliable Information Processing. In: Başar, E., Flohr, H., Haken, H., Mandell, A.J. (eds) Synergetics of the Brain. Springer Series in Synergetics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69421-9_25

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  • DOI: https://doi.org/10.1007/978-3-642-69421-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69423-3

  • Online ISBN: 978-3-642-69421-9

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