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T. Pynchon, Gravity's Rainbow, (The Viking Press, New York, 1973) p 664.
A.L. Hodgkin and A.F. Huxley, J. Physiol. 117, 500 (1952).
W.A. Little, Math. Biosci. 19, 101 (1974).
J.J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
L.F. Abbott, Model Neurons: From Hodgkin-Huxley to Hopfield, these proceedings.
D.J. Amit, Modeling Brain Function — The World of Attractor Neural Networks, (Cambridge University Press, Cambridge, 1989).
P.Peretto, Biol. Cybern. 50, 51 (1984).
D.J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. A 32, 1007 (1985); Phys. Rev. Lett. 55, 1530 (1986); Ann. Phys. (N.Y.) 173, 30 (1987).
E. Domany, J.L. van Hemmen, and K. Schulten (eds.), Physics of Neural Networks, (Springer, Heidelberg, 1990).
I. Kanter, Phys. Rev. A 37, 2739 (1988); see also the contribution of D. Bollé, these proceedings.
C. Meunier, D. Hansel, and A. Verga, J. Stat. Phys. 55, 859 (1989).
J. Yedidia, J. Phys. A 22, 2265 (1989).
H. Rieger, Thesis, Köln, (1989), unpublished.
S. Mertens, Storing p-state Patterns in a Network with Analog Neurons, this conference, and private communication.
J. Cook, J. Phys. A 22, 2257 (1989).
J. Stark and P. Bressloff J. Phys. A 23, 1633 (1990).
M.V. Tsodyks, Europhys. Lett. 7, 203 (1988).
C.M. Marcus and R.M. Westervelt, Phys. Rev. A 40, 501 (1989)
C.M. Marcus, F.M. Waugh, and R.M. Westervelt, Phys. Rev. A 41, 3355 (1990).
I. Kanter and H. Sompolinsky, Phys. Rev. A 35, 380 (1987).
F.M. Waugh, C.M. Marcus, and R.M. Westervelt, Phys. Rev. Lett. 64, 1986 (1990).
A. Treves, Graded-Response Neurons and Information Encodings in Auto-Associative Memories, Phys. Rev. A (1990), in press; see also Neural Networks in the Hippocampus Involved in Learning, these proceedings.
H. Rieger, Properties of Neural Networks with Multi-State Neurons, these proceedings.
J.J. Hopfield, Proc. Natl. Acad. Sci. 81 3088 (1984).
R. Kühn, S. Bös, and J.L. van Hemmen, Statistical Mechanics for Networks of Graded Response Neurons, submitted to Phys. Rev. A (1990).
J.J. Hopfield and D.W. Tank, Biol. Cybern. 52, 141 (1985); D.W. Tank and J.J. Hopfield, IEEE Transactions on Circuits and Systems Cas-33 533 (1986).
J.L. van Hemmen and R. Kühn, Collection Phenomena in Neural Networks, in Ref: 9. (Springer, Heidelberg, 1990).
S. Bös, to be published.
R. Graham and H. Haken, Z. Phys. 243 289 (1971).
R. Kühn et al., to be published.
M. Abeles Local Cortical Circuits, (Springer, Berlin, Heidelberg, New York, 1982); M. Abeles, E. Vaadia, and H. Bergman, Network 1, 13 (1990).
D. Amit and A. Treves Proc. Natl. Acad. Sci. USA 86, 7871 (1989); A. Treves and D.J. Amit, J. Phys. A 22, 2205 (1989).
N. Rubin and H. Sompolinsky, Neural Networks with Low Local Firing Rates, Europhys. Lett. (1990), in press.
H. Sompolinsky, in: Heidelberg Colloquium on Glassy Dynamics, J.L. van Hemmen and I. Moegenstern (eds.), (Springer, Heidelberg, 1987) p 485.
W. Kinzel, in: Heidelberg Colloquium on Glassy Dynamics, J.L. van Hemmen and I. Morgenstern (eds.), (Springer, Heidelberg, 1987) p 529.
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Kühn, R. (1990). Statistical mechanics for networks of analog neurons. In: Garrido, L. (eds) Statistical Mechanics of Neural Networks. Lecture Notes in Physics, vol 368. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540532676_38
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DOI: https://doi.org/10.1007/3540532676_38
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