Synchronisation analysis of Boolean networks based on equivalence

被引：8
作者：
Chen, Hongwei [1 ]
Liang, Jinling [1 ]
Liu, Yang [1 ,2 ]
Huang, Tingwen [3 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Texas A&M Univ, Sci Program, Doha, Qatar
来源：
IET CONTROL THEORY AND APPLICATIONS | 2015年 / 9卷 / 15期
基金：
中国国家自然科学基金;
关键词：
Boolean algebra; equivalence classes; synchronisation; network theory (graphs); synchronisation analysis; Boolean networks; drive-response configuration; indicator variable; synchronised node characterisation; coordinate equivalence; necessary and sufficient conditions; drive-response BN; upper bound; NEURAL-NETWORKS; CONTROLLABILITY; STABILIZATION; STABILITY; ARRAY; OBSERVABILITY; DYNAMICS; DELAYS;
D O I：
10.1049/iet-cta.2015.0311
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study studies the synchronisation of two Boolean networks (BNs) coupled in the drive-response configuration, and presents a number of new results. A new indicator variable, which plays an important role in characterising the synchronised nodes between the drive BN and the response BN, is defined by coordinate equivalence. Consequently, some necessary and sufficient conditions are derived for the general synchronisation of the drive-response BNs. Moreover, the upper bound of time to check the criterion is given. Two examples are provided to illustrate the efficiency of the obtained results.
引用
收藏
页码：2242 / 2248
页数：7
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