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Bursting synchronization in non-locally coupled maps

Author

Listed:
  • de Pontes, J.C.A.
  • Viana, R.L.
  • Lopes, S.R.
  • Batista, C.A.S.
  • Batista, A.M.

Abstract

Neuron activity presents two timescales, a fast one related to action-potential spiking, and a slow timescale in which bursting takes place. Bursting activity in neuron ensembles can be synchronized, meaning the adjustment of the bursting phases due to coupling. We investigated bursting synchronization in a non-locally coupled lattice using a two-dimensional map to describe neuron activity. The coupling involves all sites in a lattice, the corresponding strength decreasing with the lattice distance in a power-law fashion. We observed bursting synchronization for wide intervals of the coupling parameters. We also investigated the bursting synchronization of the ensemble with an external time-periodic signal applied to one or more selected neurons.

Suggested Citation

  • de Pontes, J.C.A. & Viana, R.L. & Lopes, S.R. & Batista, C.A.S. & Batista, A.M., 2008. "Bursting synchronization in non-locally coupled maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4417-4428.
  • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4417-4428
    DOI: 10.1016/j.physa.2008.03.002
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    Cited by:

    1. Gosak, Marko & Markovič, Rene & Marhl, Marko, 2012. "The role of neural architecture and the speed of signal propagation in the process of synchronization of bursting neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2764-2770.

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