DocumentCode
1470109
Title
Complete Synchronization of Boolean Networks
Author
Rui Li ; Tianguang Chu
Author_Institution
State Key Lab. for Turbulence & Complex Syst., Peking Univ., Beijing, China
Volume
23
Issue
5
fYear
2012
fDate
5/1/2012 12:00:00 AM
Firstpage
840
Lastpage
846
Abstract
We examine complete synchronization of two deterministic Boolean networks (BNs) coupled unidirectionally in the drive-response configuration. A necessary and sufficient criterion is presented in terms of algebraic representations of BNs. As a consequence, we show that complete synchronization can occur only between two conditionally identical BNs when the transition matrix of the drive network is nonsingular. Two examples are worked out to illustrate the obtained results.
Keywords
Boolean functions; deterministic algorithms; synchronisation; algebraic representation; complete synchronization; deterministic Boolean network; drive network; drive-response configuration; transition matrix; Color; Learning systems; Matrix converters; Oscillators; Synchronization; Trajectory; Transient analysis; Boolean networks; complete synchronization; nonsingularity;
fLanguage
English
Journal_Title
Neural Networks and Learning Systems, IEEE Transactions on
Publisher
ieee
ISSN
2162-237X
Type
jour
DOI
10.1109/TNNLS.2012.2190094
Filename
6170005
Link To Document