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A simple network showing burst synchronization without frequency locking

Koch, Christof and Schuster, Heinz (1992) A simple network showing burst synchronization without frequency locking. Neural Computation, 4 (2). pp. 211-223. ISSN 0899-7667. doi:10.1162/neco.1992.4.2.211.

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The dynamic behavior of a network model consisting of all-to-all excitatory coupled binary neurons with global inhibition is studied analytically and numerically. We prove that for random input signals, the output of the network consists of synchronized bursts with apparently random intermissions of noisy activity. We introduce the fraction of simultaneously firing neurons as a measure for synchrony and prove that its temporal correlation function displays, besides a delta peak at zero indicating random processes, strongly dampened oscillations. Our results suggest that synchronous bursts can be generated by a simple neuronal architecture that amplifies incoming coincident signals. This synchronization process is accompanied by dampened oscillations that, by themselves, however, do not play any constructive role in this and can therefore be considered to be an epiphenomenon.

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Koch, Christof0000-0001-6482-8067
Additional Information:© 1992 Massachusetts Institute of Technology. Received 2 April 1991; accepted 26 August 1991. Posted Online March 13, 2008. We thank R. Douglas for stimulating discussions and for inspiring us to think about this problem and H. Sompolinsky for pointing out the importance of finite size effects. Our collaboration was supported by the Stiftung Volkswagenwerk. The research of C. K. is supported by the National Science Foundation, the James McDonnell Foundation, and the Air Force Office of Scientific Research.
Group:Koch Laboratory (KLAB)
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Volkswagen FoundationUNSPECIFIED
James S. McDonnell FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:KOCnc92
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13644
Deposited By: Tony Diaz
Deposited On:16 Jun 2009 19:32
Last Modified:26 Apr 2023 16:23

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