个人信息Personal Information
副教授
博士生导师
硕士生导师
性别:男
毕业院校:北京航空航天大学
学位:博士
所在单位:数学科学学院
学科:计算数学
办公地点:数学科学学院大楼307
电子邮箱:zhangrenquan@dlut.edu.cn
Dynamic range maximization in excitable networks
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论文类型:期刊论文
发表时间:2018-01-01
发表刊物:CHAOS
收录刊物:SCIE、Scopus
卷号:28
期号:1
ISSN号:1054-1500
摘要:We study the strategy to optimally maximize the dynamic range of excitable networks by removing the minimal number of links. A network of excitable elements can distinguish a broad range of stimulus intensities and has its dynamic range maximized at criticality. In this study, we formulate the activation propagation in excitable networks as a message passing process in which a critical state is reached when the largest eigenvalue of the weighted non-backtracking matrix is close to one. By considering the impact of single link removal on the largest eigenvalue, we develop an efficient algorithm that aims to identify the optimal set of links whose removal will drive the system to the critical state. Comparisons with other competing heuristics on both synthetic and real-world networks indicate that the proposed method can maximize the dynamic range by removing the smallest number of links, and at the same time maintaining the largest size of the giant connected component. Published by AIP Publishing.