Rabinovich, M. and Volkovskii, A. and Lecanda, P. and Huerta, R. and Abarbanel, H. D. I. and Laurent, G. (2001) Dynamical Encoding by Networks of Competing Neuron Groups: Winnerless Competition. Physical Review Letters, 87 (6). Art. no. 068102. ISSN 0031-9007. doi:10.1103/PhysRevLett.87.068102. https://resolver.caltech.edu/CaltechAUTHORS:RABprl01
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Abstract
Following studies of olfactory processing in insects and fish, we investigate neural networks whose dynamics in phase space is represented by orbits near the heteroclinic connections between saddle regions (fixed points or limit cycles). These networks encode input information as trajectories along the heteroclinic connections. If there are N neurons in the network, the capacity is approximately e(N-1)!, i.e., much larger than that of most traditional network structures. We show that a small winnerless competition network composed of FitzHugh-Nagumo spiking neurons efficiently transforms input information into a spatiotemporal output.
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Additional Information: | ©2001 The American Physical Society Received 29 December 2000; published 20 July 2001 We thank Mark Stopfer for experimental data. This work was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Engineering and Geosciences, under Grants No. DE-FG03-90ER14138 and No. DE-FG03-96ER14592, by NIDCD (G. L.), and by M. Ciencia y Tecnología BFI2000-0157 (R. H.). | ||||||||||
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Issue or Number: | 6 | ||||||||||
DOI: | 10.1103/PhysRevLett.87.068102 | ||||||||||
Record Number: | CaltechAUTHORS:RABprl01 | ||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:RABprl01 | ||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
ID Code: | 1531 | ||||||||||
Collection: | CaltechAUTHORS | ||||||||||
Deposited By: | Archive Administrator | ||||||||||
Deposited On: | 27 Jan 2006 | ||||||||||
Last Modified: | 08 Nov 2021 19:11 |
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