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Optimal autaptic and synaptic delays enhanced synchronization transitions induced by each other in Newman–Watts neuronal networks

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  • Wang, Baoying
  • Gong, Yubing
  • Xie, Huijuan
  • Wang, Qi

Abstract

In this paper, we numerically study the effect of electrical autaptic and synaptic delays on synchronization transitions induced by each other in Newman–Watts Hodgkin–Huxley neuronal networks. It is found that the synchronization transitions induced by synaptic delay vary with varying autaptic delay and become strongest when autaptic delay is optimal. Similarly, the synchronization transitions induced by autaptic delay vary with varying synaptic delay and become strongest at optimal synaptic delay. Also, there is optimal coupling strength by which the synchronization transitions induced by either synaptic or autaptic delay become strongest. These results show that electrical autaptic and synaptic delays can enhance synchronization transitions induced by each other in the neuronal networks. This implies that electrical autaptic and synaptic delays can cooperate with each other and more efficiently regulate the synchrony state of the neuronal networks. These findings could find potential implications for the information transmission in neural systems.

Suggested Citation

  • Wang, Baoying & Gong, Yubing & Xie, Huijuan & Wang, Qi, 2016. "Optimal autaptic and synaptic delays enhanced synchronization transitions induced by each other in Newman–Watts neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 372-378.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:372-378
    DOI: 10.1016/j.chaos.2016.06.020
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    2. Qi Wang & Yubing Gong & Huijuan Xie, 2016. "Mutual and intermittent enhancements of synchronization transitions by autaptic and synaptic delay in scale-free neuron networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(5), pages 1-8, May.
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    4. Wu, Yanan & Gong, Yubing & Wang, Qi, 2015. "Random coupling strength-induced synchronization transitions in neuronal network with delayed electrical and chemical coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 347-354.
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