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Original Article

Coordination of Neuronal Signals as Structures in State Space

Pages 283-297 | Received 02 Sep 1983, Published online: 07 Jul 2009

References

  • Abeles M., Lass Y. Transmission of information by the axon: II. The channel capacity. Biological Cybernetics 1975; 19: 121–125
  • Abeles M. Local cortical circuits. Springer, Berlin, Heidelberg, New York 1982
  • Arnold V. I. Ordinary differential equations. MIT-Press, Cambridge, Massachusetts 1980
  • Arnold V. I., Avez A. Théorie ergodique des systèmes dynamique. Gauthier-Villars, Paris 1967
  • Ash R. Information theory. Wiley, New York, London, Sydney 1965
  • Barlow H. B. The information capacity of nervous transmission. Kybernetik 1963; 2: 1
  • Billingsley P. Ergodic theory and information. John Wiley, New York, London, Sydney 1965
  • Bowen R., Ruelle D. The ergodic theory of axiom A flows. Invent. Math. 1975; 29: 181–202
  • Feigenbaum M. Quantitative universality for a class of nonlinear transformations. Journal of Statistical Physics 1978; 19: 25–52
  • Feynman R. P., Leighton R. B., Sands M. The Feynman Lectures on Physics (Chapter 20.3). Addison-Wesley Publishing Company, Massachusetts 1972
  • Fienberg S. E. Stochastic models for single neuron firing trains: a survey. Biometrics 1974; 30: 399–427
  • Grossberg S. Neural pattern discrimination. Journal of Theoretical Biology 1970; 27: 291–337
  • Grossberg S. Neural expectation: cerebellar and retinal analogs of cells fired by learnable or unlearned pattern classes. Kybernetik 1972; 10: 49–57
  • Grüsser O.-J. Die Informationskapazität einzelner Nervenzellen für die Signalübermittlung im Zentralnervensystem. Kybernetik 1962; 1: 209–211
  • Evolution of order and chaos. Proceedings of the International Symposium on Synergetics, H. Haken. Springer, Berlin 1982
  • Hirsch M. W., Smale S. Differential equations, dynamical systems and linear algebra. Academic Press, New York 1974
  • Holden A. V. The induction of periodic and chaotic activity in a molluscan neurone. Biological Cybernetics 1982; 43: 169–173
  • Ichikawa M. Fine structure of the olfactory bulb in the goldfish. Carassius auratus. Brain Research 1976; 115: 53–56
  • Kniff ki K.-D., Schomburg E. D., Steffens H. Effects from fine muscle and cutaneous afferents on spinal locomotion in cats. Journal of Physiology 1981; 319: 543–554
  • Krüger J., Bach M. Simultaneous recording with 30 microelectrodes in monkey visual cortex. Experimental Brain Research 1981; 41: 191–194
  • Meyer E., Guicking D. Schwingungslehre. Braunschweig, Viehweg 1974
  • Morishita I., Yajima A. Analysis and simulation of networks of mutually inhibiting neurons. Kybernetik 1972; 11: 154–165
  • Pinsker H. M. Phase-plane description of endogenous neuronal oscillators in Aplysia. Biological Cybernetics 1981; 39: 211–221
  • Schild D., Guicking D. A novel approach to the van der Pol oscillator: Natural frequency and entrainment. Journal of Interdisciplinary Cycle Research 1980; 11: 285–298
  • Schild D. A note on sample serial measures and their relation to the corresponding moments. International Journal of Neurophysiology 1983; 18: 247–252
  • Schneider J., Eckhorn R., Reitbock H. Evaluation of neuronal coupling dynamics. Biological Cybernetics 1983; 46: 129–134
  • Shannon C. E., Weaver W. The mathematical theory of communication. The University of Illinois Press, Urbana 1949
  • Smale S. On the problem of reviving the ergodic hypothesis of Boltzmann and Birkhoff. Annals of New York Academy of Sciences, R. H. G. Helleman. Nonlinear dynamics. 1980; 357: 261–266
  • Stein R. B., French A. S. Models for the transmission of information by nerve cells. Excitatory synaptic mechanisms, M. D. Anderson, J. K. S. Jansen. Oslo University Press, Oslo 1970
  • Stoker J. J. Nonlinear vibrations in mechanical and electrical systems. Interscience Publishers, New York 1966
  • Van der Pol B. On relaxation oscillations. Philosophy Magazine 1926; ii: 978–992

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