Complete and phase synchronization in a heterogeneous small-world neuronal network
Han Fang(韩芳)a), Lu Qi-Shao(陆启韶)a)†, Wiercigroch Marianb), and Ji Quan-Bao(季全宝)a)
aSchool of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; bSchool of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK
Abstract Synchronous firing of neurons is thought to be important for information communication in neuronal networks. This paper investigates the complete and phase synchronization in a heterogeneous small-world chaotic Hindmarsh--Rose neuronal network. The effects of various network parameters on synchronization behaviour are discussed with some biological explanations. Complete synchronization of small-world neuronal networks is studied theoretically by the master stability function method. It is shown that the coupling strength necessary for complete or phase synchronization decreases with the neuron number, the node degree and the connection density are increased. The effect of heterogeneity of neuronal networks is also considered and it is found that the network heterogeneity has an adverse effect on synchrony.
Received: 29 March 2008
Revised: 23 June 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10872014).
Cite this article:
Han Fang(韩芳), Lu Qi-Shao(陆启韶), Wiercigroch Marian, and Ji Quan-Bao(季全宝) Complete and phase synchronization in a heterogeneous small-world neuronal network 2009 Chin. Phys. B 18 482
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