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
Adey, W.R: In “The Neurosciences: A Study Program” F.O. Schmitt (Ed) New York, Rockefeller Univ.Press, p.181 (1970)
Adey, W.R.: Int.J.Neurosci. 3, 271 (1972)
Adey, W.R.: In “The Mind: Biological Approaches to its Function” (Corning and Balaban, Eds.) N.Y.Wiley, p.69 (1968)
Elul, R.: Science 164, 328 (1969)
In “Progress in Biomedical Eng.” (L.Pogel, Ed.), Washington D.C. Spartan Books p.131 (1966)
Elul, R.: In “Data Acquisition and Processing in Biology and Medicine” (Enslein, Ed.) Oxford, Pergamon Press, p. 99 (1968)
Elul, R.: In “Synchronization of EEG Activities in Epilepsies” (H. Petsche, M. Brazier, Eds.) Springer Verlag New York, p.59 (1972)
Verzeano, M.: In “Synchron of EEG Activities in Epilepsies” H. Petsche, M. Brazier, Eds.) Springer Verlag, New York, p.154 (1972)
Moruzzi, G., Magoun, H.W.: Clin.Neurophysiol. 1, 455 (1949)
Scheibel, M.E., Scheibel, A.B.: In “The Thalamus” (D.P. Purpura, M.D.Yahr, Eds.) New York, Columbia, Univ.Press (1966)
Nicolis, J.S., Benrubi, M.: J.Theor.Biol.59, 77 (1976)
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)
Nicolis, J.S., Benrubi, M.: General Systems XXII, p.119 (1977)
Nicolis, J.S., Galanos, G., Protonotarios, E.M.: Int.J.of Control 18,1009 (1973)
Pikovsky, A.S., Rabinovich, M.I.: Physica 2D,8 (1981)
Guckenheimer, J.: Physica 1D, p.227 (1980)
May, R.M.: Int. Conf. on Nonlinear Dynamics N.Y. 17–21 Dec. Ann. N.Y.Sci. 357, (1981)
Bunow, B., Weiss, G.H.: Math. Biosc. 47, 221 (1979)
Glass, L., Perez, R.: Nature 246, 360 (1973)
Sejnowski, T.J.: J.Math.Biol.4, 303 (1977)
Nicolis, J.S., Protonotarios E.N, Theologou, M.: Int.J. of Man.-Mach.Studies 10, 343 (1978)
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)
Machlup, S., Sluckin, T.J.: J.Theor.Biol. 84,119–134 (1980)
Manneville, P., Pomeau, Y.: Physica 1D, 219–226 (1980)
Pomeau, Y.,: In “Bifurcation Phenomena in Mathematical Physics and Related Topics” C. Bardos, Bessis, D. (Eds.) (1980) p.155–162, D.Reidel Publish.Co.
Hutt, S.J., Fairweather, H.: Electoenc. and Clin. Neurophysiol. 39,43–51 (1975)
Chaitin, G.: Sci. American May p.47–55 (1975)
Nicolis, J.S., Protonotarios, E.N.: Int.Journal of Biomedical Computing 10, 417–447 (1979)
Nicolis, J.S., Protonotarios, E.N.: Int.J.Systems Sci. Vol.11,No.1,107–127 (1980)
Nicolis, G., Prigogine, I.: “Self Organization of Non-Equilbrium System” Wiley New York (1977)
Ueda, Y., Akamazsu, N.: IEEE Trans. on Circuits and Syst. 28,No.3, 217 (1981)
Shaw, R.: Z.Naturforsch. 36a, 80 (1981)
Packard, N.H., Cruchfield, J.P., Farmer, J.D., Shaw, R.S.: Phys.Rev.Lett. 45,No.9, 712 (1980)
Mori, H.: Progr.Theor.Phys. 63,1044 (1980)
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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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