Synchronization performance in time-delayed random networks induced by diversity in system parameter

钱郁; 高红艳; 姚成贵; 崔晓华; 马军

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Synchronization performance in time-delayed random networks induced by diversity in system parameter

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Synchronization rhythm and oscillating in biological systems can give clues to understanding the cooperation and competition between cells under appropriate biological and physical conditions. As a result, the network setting is appreciated to detect the stability and transition of collective behaviors in a network with different connection types. In this paper, the synchronization performance in time-delayed excitable homogeneous random networks(EHRNs) induced by diversity in system parameters is investigated by calculating the synchronization parameter and plotting the spatiotemporal evolution pattern, and distinct impacts induced by parameter-diversity are detected by setting different time delays. It is found that diversity has no distinct effect on the synchronization performance in EHRNs with small time delay being considered. When time delay is increased greatly, the synchronization performance of EHRN degenerates remarkably as diversity is increased. Surprisingly, by setting a moderate time delay, appropriate parameter-diversity can promote the synchronization performance in EHRNs, and can induce the synchronization transition from the asynchronous state to the weak synchronization. Moreover, the bistability phenomenon, which contains the states of asynchronous state and weak synchronization,is observed. Particularly, it is confirmed that the parameter-diversity promoted synchronization performance in time-delayed EHRN is manifested in the enhancement of the synchronization performance of individual oscillation and the increase of the number of synchronization transitions from the asynchronous state to the weak synchronization. Finally, we have revealed that this kind of parameter-diversity promoted synchronization performance is a robust phenomenon.

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《中国物理：英文版》 |2018年第10期|652-659|共8页
作者
钱郁; 高红艳; 姚成贵; 崔晓华; 马军;
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作者单位

Nonlinear Research Institute;

Baoji University of Arts and Sciences;

Baoji 721007;

China;

Department of Mathematics;

Shaoxing University;

Shaoxing 312000;

China;

School of Systems Science;

Beijing Normal University;

Beijing 100875;

China;

Department of Physics;

Lanzhou University of Technology;

Lanzhou 730050;

China;

King Abdulaziz University;

Faculty of Science;

Department of Mathematics;

NAAM Research Group;

Jeddah 21589;

Saudi Arabia;

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原文格式 PDF
正文语种 chi
中图分类图论;
关键词
同步性能; 网络检测; 在系统; 时间; 随机; 生物系统; 连接类型; 进化模式;

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Synchronization performance in time-delayed random networks induced by diversity in system parameter

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