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Chin. Phys. B, 2013, Vol. 22(4): 040505    DOI: 10.1088/1674-1056/22/4/040505
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Rhythm dynamics of complex neuronal networks with mixed bursting neurons

Lü Yong-Bing (吕永兵)a, Shi Xia (石霞)a, Zheng Yan-Hong (郑艳红)b
a School of Science, Beijing University of Posts and Telecomunications, Beijing 100876, China;
b School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
Abstract  Spatiotemporal order and rhythm dynamics of a complex neuronal network with mixed bursting neurons are studied in this paper. A quantitative characteristic, the width factor, is introduced to describe the rhythm dynamics of an individual neuron, and the average width factor is used to characterize the rhythm dynamics of a neuronal network. A parameter r is introduced to denote the ratio of the short bursting neurons in the network. Then we investigate the effect of the ratio on the rhythm dynamics of the neuronal network. The critical value of r is derived, and the neurons in the network are always keeping short bursting when the ratio r is larger than the critical value.
Keywords:  rhythm dynamics      complex network      neuron  
Received:  04 August 2012      Revised:  28 September 2012      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  87.19.lj (Neuronal network dynamics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11272065 and 11102041) and the Fundamental Research Funds for the Central Universities (Grant No. 2011RC0702).
Corresponding Authors:  Shi Xia     E-mail:  berthashi@yahoo.com.cn

Cite this article: 

Lü Yong-Bing (吕永兵), Shi Xia (石霞), Zheng Yan-Hong (郑艳红) Rhythm dynamics of complex neuronal networks with mixed bursting neurons 2013 Chin. Phys. B 22 040505

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