Synchronisation analysis of Boolean networks based on equivalence Academic Article

abstract

• The Institution of Engineering and Technology 2015. 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.

authors

• Huang, Tingwen

published proceedings

• IET CONTROL THEORY AND APPLICATIONS

author list (cited authors)

• Chen, H., Liang, J., Liu, Y., & Huang, T.

citation count

• 8

complete list of authors

• Chen, Hongwei||Liang, Jinling||Liu, Yang||Huang, Tingwen

publication date

• October 2015

publisher

• Institution of Engineering and Technology (IET)  Publisher

published in

• IET Control Theory and Applications  Journal

keywords

• Boolean Algebra
• Boolean Networks
• Coordinate Equivalence
• Drive-response Bn
• Drive-response Configuration
• Equivalence Classes
• Indicator Variable
• Necessary And Sufficient Conditions
• Network Theory (graphs)
• Synchronisation
• Synchronisation Analysis
• Synchronised Node Characterisation
• Upper Bound

Digital Object Identifier (DOI)

• 10.1049/iet-cta.2015.0311

start page

• 2242

end page

• 2248

volume

• 9

issue

• 15

URL

• http%3A%2F%2Fdx.doi.org%2F10.1049%2Fiet-cta.2015.0311