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Synchronization transition in gap-junction-coupled leech neurons

Author

Listed:
  • Wang, Qingyun
  • Duan, Zhisheng
  • Feng, Zhaosheng
  • Chen, Guanrong
  • Lu, Qishao

Abstract

Real neurons can exhibit various types of firings including tonic spiking, bursting as well as silent state, which are frequently observed in neuronal electrophysiological experiments. More interestingly, it is found that neurons can demonstrate the co-existing mode of stable tonic spiking and bursting, which depends on initial conditions. In this paper, synchronization in gap-junction-coupled neurons with co-existing attractors of spiking and bursting firings is investigated as the coupling strength gets increased. Synchronization transitions can be identified by means of the bifurcation diagram and the correlation coefficient. It is illustrated that the coupled neurons can exhibit different types of synchronization transitions between spiking and bursting when the coupling strength increases. In the course of synchronization transitions, an intermittent synchronization can be observed. These results may be instructive to understand synchronization transitions in neuronal systems.

Suggested Citation

  • Wang, Qingyun & Duan, Zhisheng & Feng, Zhaosheng & Chen, Guanrong & Lu, Qishao, 2008. "Synchronization transition in gap-junction-coupled leech neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4404-4410.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4404-4410
    DOI: 10.1016/j.physa.2008.02.067
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    References listed on IDEAS

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    1. Wang, Qing Yun & Lu, Qi Shao & Guan Rong Chen,, 2007. "Ordered bursting synchronization and complex wave propagation in a ring neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 869-878.
    2. Toral, Raúl & Masoller, C & Mirasso, Claudio R & Ciszak, M & Calvo, O, 2003. "Characterization of the anticipated synchronization regime in the coupled FitzHugh–Nagumo model for neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 192-198.
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    Cited by:

    1. Wang, Qingyun & Zheng, Yanhong & Ma, Jun, 2013. "Cooperative dynamics in neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 19-27.

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