Evidence map›Paper›PMID 25189531›Full record

ArticleScientific reports2014

Synchronization in output-coupled temporal Boolean networks.

Jianquan Lu, Jie Zhong, Yang Tang, Tingwen Huang, Jinde Cao, Jürgen Kurths

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In one paragraph

Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

6 authors.

Jianquan LuDepartment of Mathematics, Southeast University, Nanjing 210096, China.
Jie ZhongDepartment of Mathematics, Southeast University, Nanjing 210096, China.
Yang Tang1] Potsdam Institute for Climate Impact Research, Potsdam 14415, Germany [2] Institute of Physics, Humboldt University of Berlin, Berlin 12489, Germany.
Tingwen HuangTexas A&M University at Qatar, Doha 23874, Qatar.
Jinde Cao1] Department of Mathematics, Southeast University, Nanjing 210096, China [2] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Jürgen Kurths1] Potsdam Institute for Climate Impact Research, Potsdam 14415, Germany [2] Institute of Physics, Humboldt University of Berlin, Berlin 12489, Germany [3] Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod, Russia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Identifiers

PMID25189531
PMCPMC4164038

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