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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/1732

Title: Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks
Authors: Bressloff, P.C.
Coombes, S.
Issue Date: 1998
Publisher: © American Physical Society
Citation: BRESSLOFF and COOMBES, 1998. Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks. Physical Review Lettters, 81(11), pp. 2384–2387
Abstract: A dynamical mechanism underlying pattern formation in a spatially extended network of integrate-and-fire oscillators with synaptic interactions is identified. It is shown how in the strong coupling regime the network undergoes a discrete Turing-Hopf bifurcation of the firing times from a synchronous state to a state with periodic or quasiperiodic variations of the interspike intervals on closed orbits. The separation of these orbits in phase space results in a spatially periodic pattern of mean firing rate across the network that is modulated by deterministic fluctuations of the instantaneous firing rate.
Description: This article was published in the journal, Physical Review Letters [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRL/v81/p2384.
URI: https://dspace.lboro.ac.uk/2134/1732
ISSN: 0031-9007
Appears in Collections:Published Articles (Maths)

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