Synchronization of Coupled Boolean Networks With Different Update Scheme
In this paper, the synchronization of coupled Boolean networks with asynchronous update scheme is investigated. First, the asynchronous Boolean dynamics is transformed into a linear expression with the semi-tensor product technique. Then, the synchronization cycle is proposed to establish the synchr...
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doaj-824e76e82c2b475e8c9d7a8889d972412021-03-30T02:40:35ZengIEEEIEEE Access2169-35362020-01-018793197932410.1109/ACCESS.2020.29904899078811Synchronization of Coupled Boolean Networks With Different Update SchemeYujun Niu0https://orcid.org/0000-0001-5279-3549Hongjun Liu1https://orcid.org/0000-0003-4991-6696Qiang Wei2School of Software Engineering, Dalian University, Dalian, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, ChinaCollege of Computer and Technology, Beihua University, Jilin, ChinaIn this paper, the synchronization of coupled Boolean networks with asynchronous update scheme is investigated. First, the asynchronous Boolean dynamics is transformed into a linear expression with the semi-tensor product technique. Then, the synchronization cycle is proposed to establish the synchronization conditions of asynchronous Boolean networks. Furthermore, an algorithm is given, which can be used to quickly check whether there exists the synchronization cycle in the coefficient matrix of the Boolean function. Finally, an example is provided to verify the efficiency of the theoretical analysis.https://ieeexplore.ieee.org/document/9078811/Asynchronous update schemeBoolean networksynchronizationsemi-tensor product |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yujun Niu Hongjun Liu Qiang Wei |
spellingShingle |
Yujun Niu Hongjun Liu Qiang Wei Synchronization of Coupled Boolean Networks With Different Update Scheme IEEE Access Asynchronous update scheme Boolean network synchronization semi-tensor product |
author_facet |
Yujun Niu Hongjun Liu Qiang Wei |
author_sort |
Yujun Niu |
title |
Synchronization of Coupled Boolean Networks With Different Update Scheme |
title_short |
Synchronization of Coupled Boolean Networks With Different Update Scheme |
title_full |
Synchronization of Coupled Boolean Networks With Different Update Scheme |
title_fullStr |
Synchronization of Coupled Boolean Networks With Different Update Scheme |
title_full_unstemmed |
Synchronization of Coupled Boolean Networks With Different Update Scheme |
title_sort |
synchronization of coupled boolean networks with different update scheme |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
In this paper, the synchronization of coupled Boolean networks with asynchronous update scheme is investigated. First, the asynchronous Boolean dynamics is transformed into a linear expression with the semi-tensor product technique. Then, the synchronization cycle is proposed to establish the synchronization conditions of asynchronous Boolean networks. Furthermore, an algorithm is given, which can be used to quickly check whether there exists the synchronization cycle in the coefficient matrix of the Boolean function. Finally, an example is provided to verify the efficiency of the theoretical analysis. |
topic |
Asynchronous update scheme Boolean network synchronization semi-tensor product |
url |
https://ieeexplore.ieee.org/document/9078811/ |
work_keys_str_mv |
AT yujunniu synchronizationofcoupledbooleannetworkswithdifferentupdatescheme AT hongjunliu synchronizationofcoupledbooleannetworkswithdifferentupdatescheme AT qiangwei synchronizationofcoupledbooleannetworkswithdifferentupdatescheme |
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1724184748814761984 |