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Burst synchronization of electrically and chemically coupled map-based neurons

Author

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  • Shi, Xia
  • Lu, Qishao

Abstract

Burst synchronization and burst dynamics of a system consisting of two map-based neurons coupled through electrical or chemical synapses are discussed. Some basic characteristic quantities are introduced to describe burst synchronization and burst dynamics of neurons. It is observed that excitatory coupling leads to in-phase burst synchronization but inhibitory coupling results in anti-phase one. By using the basic characteristics of burst dynamics, the effects of the intrinsic bursting properties and the coupling schemes on complex bursting behaviors are also presented for both inhibitory and excitatory couplings. The results are instructive to identify bursting behaviors through experimental data.

Suggested Citation

  • Shi, Xia & Lu, Qishao, 2009. "Burst synchronization of electrically and chemically coupled map-based neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2410-2419.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:12:p:2410-2419
    DOI: 10.1016/j.physa.2009.03.008
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    Cited by:

    1. Yu, Haitao & Wang, Jiang & Liu, Chen & Deng, Bin & Wei, Xile, 2014. "Delay-induced synchronization transitions in modular scale-free neuronal networks with hybrid electrical and chemical synapses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 25-34.
    2. Kim, Sang-Yoon & Lim, Woochang, 2015. "Thermodynamic order parameters and statistical–mechanical measures for characterization of the burst and spike synchronizations of bursting neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 544-559.

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