Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40505-040505.doi: 10.1088/1674-1056/22/4/040505

• GENERAL • 上一篇    下一篇

Rhythm dynamics of complex neuronal networks with mixed bursting neurons

吕永兵a, 石霞a, 郑艳红b   

  1. 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
  • 收稿日期:2012-08-04 修回日期:2012-09-28 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    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).

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   

  1. 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
  • Received:2012-08-04 Revised:2012-09-28 Online:2013-03-01 Published:2013-03-01
  • Contact: Shi Xia E-mail:berthashi@yahoo.com.cn
  • Supported by:
    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).

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摘要： 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.

关键词: rhythm dynamics, complex network, neuron

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.

Key words: rhythm dynamics, complex network, neuron

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
87.19.lj (Neuronal network dynamics)