ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Ivanchenko M. V. Generation of bursts in ensembles of spiking neurons with nonlocal coupling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 3, pp. 3-14. DOI: 10.18500/0869-6632-2007-15-3-3-14

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Russian
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Article
UDC: 
523.03

Generation of bursts in ensembles of spiking neurons with nonlocal coupling

Autors: 
Ivanchenko Mihail Vasilevich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

A mechanism of collective generation of bursts in ensembles of spiking neurons with nonlocal excitatory coupling is studied. Three types of the network topology is considered: (a) chains with regular short-range nonlocal coupling, (b) chains with a small number of random long-range connections and dominating regular short-range ones, (c) random ensembles with a power law of node degree distribution. It is shown, that there exists a common mechanism of burst generation resulting from instability of synchronous slow spiking as the coupling strengthens, giving rise to fast repetitive spikes. Dependence upon parameters of the network is analyzed. The relevance of the obtained results to neuroscience is discussed.

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Received: 
27.02.2007
Accepted: 
27.02.2007
Published: 
29.06.2007
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