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The effect of distributed time-delays on the synchronization of neuronal networks

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  • Ajay Deep Kachhvah

    (Indian Institute of Science Education and Research (IISER) Mohali)

Abstract

Here we investigate the synchronization of networks of FitzHugh-Nagumo neurons coupled in scale-free, small-world and random topologies, in the presence of distributed time delays in the coupling of neurons. We explore how the synchronization transition is affected when the time delays in the interactions between pairs of interacting neurons are non-uniform. We find that the presence of distributed time-delays does not change the behavior of the synchronization transition significantly, vis-a-vis networks with constant time-delay, where the value of the constant time-delay is the mean of the distributed delays. We also notice that a normal distribution of delays gives rise to a transition at marginally lower coupling strengths, vis-a-vis uniformly distributed delays. These trends hold across classes of networks and for varying standard deviations of the delay distribution, indicating the generality of these results. So we conclude that distributed delays, which may be typically expected in real-world situations, do not have a notable effect on synchronization. This allows results obtained with constant delays to remain relevant even in the case of randomly distributed delays.

Suggested Citation

  • Ajay Deep Kachhvah, 2017. "The effect of distributed time-delays on the synchronization of neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(1), pages 1-5, January.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:1:d:10.1140_epjb_e2016-70572-9
    DOI: 10.1140/epjb/e2016-70572-9
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    Cited by:

    1. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Feifei Yang & Xikui Hu & Guodong Ren & Jun Ma, 2023. "Synchronization and patterns in a memristive network in noisy electric field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-14, June.

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    Keywords

    Statistical and Nonlinear Physics;

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