Effects of refractory period on dynamical range in excitable networks

• 来源期刊: 中国物理B（英文版）
• 关键词: criticality branching process random network dynamical range
• 年，卷（期）: 2019,（12）
• 页码范围: 433-438
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab4f60

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.