中国物理B ›› 2019, Vol. 28 ›› Issue (12): 128701-128701.doi: 10.1088/1674-1056/ab4f60

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Effects of refractory period on dynamical range inexcitable networks

Ya-Qin Dong(董亚琴), Fan Wang(王帆), Sheng-Jun Wang(王圣军), Zi-Gang Huang(黄子罡)   

  1. 1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China;
    2 School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2019-07-04 修回日期:2019-10-14 出版日期:2019-12-05 发布日期:2019-12-05
  • 通讯作者: Sheng-Jun Wang E-mail:wangshjun@snnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11675096), the Fundamental Research Funds for the Central Universities of China (Grant No. GK201702001), and the Fund for the Academic Leaders and Academic Backbones, Shaanxi Normal University of China (Grant No. 16QNGG007).

Effects of refractory period on dynamical range inexcitable networks

Ya-Qin Dong(董亚琴)1, Fan Wang(王帆)1, Sheng-Jun Wang(王圣军)1, Zi-Gang Huang(黄子罡)2   

  1. 1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China;
    2 School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2019-07-04 Revised:2019-10-14 Online:2019-12-05 Published:2019-12-05
  • Contact: Sheng-Jun Wang E-mail:wangshjun@snnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11675096), the Fundamental Research Funds for the Central Universities of China (Grant No. GK201702001), and the Fund for the Academic Leaders and Academic Backbones, Shaanxi Normal University of China (Grant No. 16QNGG007).

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摘要： Effects of refractory period on the dynamical range in excitable networks are studied by computer simulations and theoretical analysis. The first effect is that the maximum or peak of the dynamical range appears when the largest eigenvalue of adjacent matrix is larger than one. We present a modification of the theory of the critical point by considering the correlation between excited nodes and their neighbors, which is brought by the refractory period. Our analysis provides the interpretation for the shift of the peak of the dynamical range. The effect is negligible when the average degree of the network is large. The second effect is that the dynamical range increases as the length of refractory period increases, and it is independent of the average degree. We present the mechanism of the second effect. As the refractory period increases, the saturated response decreases. This makes the bottom boundary of the dynamical range smaller and the dynamical range extend.

关键词: criticality, branching process, random network, dynamical range

Abstract: Effects of refractory period on the dynamical range in excitable networks are studied by computer simulations and theoretical analysis. The first effect is that the maximum or peak of the dynamical range appears when the largest eigenvalue of adjacent matrix is larger than one. We present a modification of the theory of the critical point by considering the correlation between excited nodes and their neighbors, which is brought by the refractory period. Our analysis provides the interpretation for the shift of the peak of the dynamical range. The effect is negligible when the average degree of the network is large. The second effect is that the dynamical range increases as the length of refractory period increases, and it is independent of the average degree. We present the mechanism of the second effect. As the refractory period increases, the saturated response decreases. This makes the bottom boundary of the dynamical range smaller and the dynamical range extend.

Key words: criticality, branching process, random network, dynamical range

中图分类号:  (Neural networks and synaptic communication)

  • 87.18.Sn
05.45.-a (Nonlinear dynamics and chaos) 87.19.lj (Neuronal network dynamics)