Synchronization of “light-sensitive” Hindmarsh–Rose neurons

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Abstract

The suprachiasmatic nucleus is a network of synchronized neurons whose electrical activity follows a 24 h cycle. The synchronization phenomenon (among these neurons) is not completely understood. In this work we study, via experiments and numerical simulations, the phenomenon in which the synchronization threshold changes under the influence of an external (bifurcation) parameter in coupled Hindmarsh–Rose neurons. This parameter “shapes” the activity of the individual neurons the same way as some neurons in the brain react to light. We corroborate this experimental finding with numerical simulations by quantifying the amount of synchronization using Pearson's correlation coefficient. In order to address the local stability problem of the synchronous state, Floquet theory is applied in the case where the dynamic systems show continuous periodic solutions. These results show how the sufficient coupling strength for synchronization between these neurons is affected by an external cue (e.g. light).

Original languageEnglish
Pages (from-to)322-330
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume57
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • Correlation coefficient
  • Electronic oscillator
  • External parameter
  • Synchronization

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