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The effects of time delay on the synchronization transitions in a modular neuronal network with hybrid synapses

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  • Liu, Chen
  • Wang, Jiang
  • Yu, Haitao
  • Deng, Bin
  • Wei, Xile
  • Sun, Jianbing
  • Chen, Yingyuan

Abstract

Delay-induced synchronization transitions are studied in a modular neuronal network of small-world subnetworks with hybrid synapses in this paper. Numerical results show that the spatiotemporal synchronization transitions in a modular neuronal network not only depend on the information transmission delay, but also can be induced by the variations of the probability of inhibitory synapses and the number of subnetworks in the modular networks. In the hybrid modular network, the information transmission delay is shown to be significant, which can either promote or destroy synchronization of neuronal activity. In particular, the increasing delays can induce the intermittent appearance of regions of synchronization and non-synchronization. Interestingly, it is found that intermittent synchronization transition is relatively profound for smaller and larger probability of inhibitory synapses, while synchronization transition seems less profound for the moderate probability of inhibitory synapses. In addition, if only the delay is appropriate, there exists a suitable modular network topology structure enhancing the synchronized neuronal activity.

Suggested Citation

  • Liu, Chen & Wang, Jiang & Yu, Haitao & Deng, Bin & Wei, Xile & Sun, Jianbing & Chen, Yingyuan, 2013. "The effects of time delay on the synchronization transitions in a modular neuronal network with hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 54-65.
    • Handle: RePEc:eee:chsofr:v:47:y:2013:i:c:p:54-65
    DOI: 10.1016/j.chaos.2012.12.008
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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    2. Batista, C.A.S. & Batista, A.M. & de Pontes, J.C.A. & Lopes, S.R. & Viana, R.L., 2009. "Bursting synchronization in scale-free networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2220-2225.
    3. 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.
    4. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    5. Wang, Qingyun & Perc, Matjaž & Duan, Zhisheng & Chen, Guanrong, 2010. "Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3299-3306.
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    Cited by:

    1. Deng, Bin & Deng, Yun & Yu, Haitao & Guo, Xinmeng & Wang, Jiang, 2016. "Dependence of inter-neuronal effective connectivity on synchrony dynamics in neuronal network motifs," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 48-59.
    2. Liu, Chen & Wang, Jiang & Wang, Lin & Yu, Haitao & Deng, Bin & Wei, Xile & Tsang, Kaiming & Chan, Wailok, 2014. "Multiple synchronization transitions in scale-free neuronal networks with electrical and chemical hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 1-12.

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