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- Title
Synchronization in output-coupled temporal Boolean networks.
- Authors
Jianquan Lu; Jie Zhong; Yang Tang; Tingwen Huang; Cao, Jinde; Kurths, Jürgen
- Abstract
This paper presents an analytical study of synchronization in an array of output-coupled temporal Boolean networks. A temporal Boolean network (TBN) is a logical dynamic system developed to model Boolean networks with regulatory delays. Both state delay and output delay are considered, and these two delays are assumed to be different. By referring to the algebraic representations of logical dynamics and using the semi-tensor product of matrices, the output-coupled TBNs are firstly converted into a discrete-time algebraic evolution system, and then the relationship between the states of coupled TBNs and the initial state sequence is obtained. Then, some necessary and sufficient conditions are derived for the synchronization of an array of TBNs with an arbitrary given initial state sequence. Two numerical examples including one epigenetic model are finally given to illustrate the obtained results.
- Subjects
BOOLEAN algebra; ALGEBRAIC immunity; TIME measurements; FRAME synchronizers; APPLIED mathematics
- Publication
Scientific Reports, 2014, p1
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/srep06292