Desynchronized stable states in diluted neural networks

Rudiger Zillmer, Roberto Livi, Antonio Politi, Alessandro Torcini

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


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 behavior 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 interspike 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. (c) 2006 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)1960-1965
Number of pages6
Issue number10-12
Publication statusPublished - Jun 2007


  • pulse-coupled inhibitory network
  • random dilution
  • multistability
  • long chaotic transients
  • neurons
  • behavior


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