Abstract
A clustered network is characterized by a number of distinct sparsely linked subnetworks (clusters), each with dense internal connections. Such networks are relevant to biological, social, and certain technological networked systems. For a clustered network the occurrence of global synchronization, in which nodes from different clusters are synchronized, is of interest. We consider Kuramoto-type dynamics and obtain an analytic formula relating the critical coupling strength required for global synchronization to the probabilities of intracluster and intercluster connections, and provide numerical verification. Our work also provides direct support for a previous spectral-analysis-based result concerning the role of random intercluster links in enhancing the synchronizability of a clustered network.
| Original language | English (US) |
|---|---|
| Article number | 046211 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 77 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 15 2008 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Transition to global synchronization in clustered networks. / Guan, Shuguang; Wang, Xingang; Lai, Ying-Cheng; Lai, Choy Heng.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 4, 046211, 15.04.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Transition to global synchronization in clustered networks
AU - Guan, Shuguang
AU - Wang, Xingang
AU - Lai, Ying-Cheng
AU - Lai, Choy Heng
PY - 2008/4/15
Y1 - 2008/4/15
N2 - A clustered network is characterized by a number of distinct sparsely linked subnetworks (clusters), each with dense internal connections. Such networks are relevant to biological, social, and certain technological networked systems. For a clustered network the occurrence of global synchronization, in which nodes from different clusters are synchronized, is of interest. We consider Kuramoto-type dynamics and obtain an analytic formula relating the critical coupling strength required for global synchronization to the probabilities of intracluster and intercluster connections, and provide numerical verification. Our work also provides direct support for a previous spectral-analysis-based result concerning the role of random intercluster links in enhancing the synchronizability of a clustered network.
AB - A clustered network is characterized by a number of distinct sparsely linked subnetworks (clusters), each with dense internal connections. Such networks are relevant to biological, social, and certain technological networked systems. For a clustered network the occurrence of global synchronization, in which nodes from different clusters are synchronized, is of interest. We consider Kuramoto-type dynamics and obtain an analytic formula relating the critical coupling strength required for global synchronization to the probabilities of intracluster and intercluster connections, and provide numerical verification. Our work also provides direct support for a previous spectral-analysis-based result concerning the role of random intercluster links in enhancing the synchronizability of a clustered network.
UR - http://www.scopus.com/inward/record.url?scp=42449124207&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=42449124207&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.046211
DO - 10.1103/PhysRevE.77.046211
M3 - Article
AN - SCOPUS:42449124207
VL - 77
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 4
M1 - 046211
ER -