Local and global burst synchronization in a noisy small-world neuronal network

  • Authors:
  • Fang Han;Ying Du;Qishao Lu

  • Affiliations:
  • School of Information Science and Technology, Donghua University, Shanghai, P.R. China;Institute for Cognitive Neurodynamics, School of Information Science and Engineering, East China University of Science and Technology, Shanghai, P.R. China;Department of Dynamics and Control, Beihang University, Beijing, P.R. China

  • Venue:
  • ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
  • Year:
  • 2011

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Abstract

Chaotic bursting is a fundamental behavior of neurons. In this paper, local and global burst synchronization is studied in a noisy small-world neuronal network composed of nonidentical Hindmarsh-Rose neurons. It is found that burst synchronization can be obtained easily by very small coupling strength and local burst synchronized clusters have already formed before global burst synchronization happens. The effects of the shortcut-adding probability and noise intensity on local and global burst synchronization of the network are also studied and it is found that the introduction of shortcuts facilitates burst synchronization while noise has little effect.