Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-08-08
Neurocomputing 70 (2007) 1960.
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages with 7 figures (eps), contribution presented to the conference CNS 2006 held in Edinburgh (UK), to appear on Neurocomp
Scientific paper
10.1103/PhysRevE.74.036203
The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards periodic attractors where all neurons fire with the same rate. At larger couplings, a new phase emerges, where all neurons are mutually unlocked. The irregular behaviour turns out to be "confined" to an exponentially long, stationary and linearly stable transient. In this latter phase we also find an exponentially tailed distribution of the inter-spike intervals (ISIs). Finally, we show that in the unlocked phase a subset of the neurons can be eventually synchronized under the action of an external signal, the remaining part of the neurons acting as a background noise. The dynamics of these ''background'' neurons is quite peculiar, in that it reveals a broad ISI distribution with a coefficient of variation that is close to 1.
Livi Roberto
Politi Antonio
Torcini Alessandro
Zillmer Ruediger
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