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Patterns of synchrony in a heterogeneous Hodgkin-Huxley neural network with weak coupling

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  • Hansel, D.
  • Mato, G.

Abstract

A phase reduction formalism is applied to study various patterns of synchrony displayed by a heterogeneous network of Hodgkin-Huxley neurons. The phase diagram of this system is obtained. In particular, the fraction of frequency locked neurons is shown to be a non-monotonic function of the heterogeneity. A dynamical regime in which the neurons oscillate with a high degree of coherence but with dispersion of the firing rates is found.

Suggested Citation

  • Hansel, D. & Mato, G., 1993. "Patterns of synchrony in a heterogeneous Hodgkin-Huxley neural network with weak coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 662-669.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:662-669
    DOI: 10.1016/0378-4371(93)90573-M
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    Cited by:

    1. Adrián Ponce-Alvarez & Gustavo Deco & Patric Hagmann & Gian Luca Romani & Dante Mantini & Maurizio Corbetta, 2015. "Resting-State Temporal Synchronization Networks Emerge from Connectivity Topology and Heterogeneity," PLOS Computational Biology, Public Library of Science, vol. 11(2), pages 1-23, February.

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