Chaotic burst synchronization in heterogeneous small-world neuronal network with noise

Fang Han, Qi-Shao Lu , Marian Wiercigroch, Quan-Bao Ji

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Chaotic bursting is a fundamental behavior of neurons. In this paper, global and local burst synchronization is studied in a heterogeneous small-world neuronal network ofnon-identical Hindmarsh–Rose(HR) neurons with noise. It is found that the network can achieve global burst synchronization much more easily than phase synchronization and nearly complete synchronization. Moreover, local burst synchronized clusters have already formed before global burst synchronization happens. We study the effect of the shortcut-adding probability and the heterogeneity coefficient on local and global burst synchronization of the network and find that the introduction of shortcuts facilitates burst synchronization while the heterogeneity has little effect. Moreover, we study the spatio temporal pattern of the network and find that there is an optimal coupling strength range in which the periodicity of the network is very apparent.
Original languageEnglish
Pages (from-to)298-303
Number of pages6
JournalInternational Journal of Non-Linear Mechanics
Volume44
Issue number3
DOIs
Publication statusPublished - Apr 2009

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