Onset of synchronization in complex gradient networks

Xingang Wang; Liang Huang; Shuguang Guan; Ying-Cheng Lai; Choy Heng Lai

doi:10.1063/1.2964202

Onset of synchronization in complex gradient networks

Xingang Wang, Liang Huang, Shuguang Guan, Ying-Cheng Lai, Choy Heng Lai

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.

Original language	English (US)
Article number	037117
Journal	Chaos
Volume	18
Issue number	3
DOIs	https://doi.org/10.1063/1.2964202
State	Published - 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1063/1.2964202

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abstract = "Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.",

author = "Xingang Wang and Liang Huang and Shuguang Guan and Ying-Cheng Lai and Lai, {Choy Heng}",

note = "Funding Information: L.H. and Y.C.L. are supported by an ASU-UA Collaborative Program on Biomedical Research, by AFOSR under Grant No. FA9550-07-1-0045, and by ONR through WVHTC (West Virginia High Technology Consortium Foundation). Y.C.L. acknowledges the hospitality of National University of Singapore, where part of the work was done during a visit.",

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AU - Wang, Xingang

AU - Huang, Liang

AU - Guan, Shuguang

AU - Lai, Ying-Cheng

AU - Lai, Choy Heng

N1 - Funding Information: L.H. and Y.C.L. are supported by an ASU-UA Collaborative Program on Biomedical Research, by AFOSR under Grant No. FA9550-07-1-0045, and by ONR through WVHTC (West Virginia High Technology Consortium Foundation). Y.C.L. acknowledges the hospitality of National University of Singapore, where part of the work was done during a visit.

PY - 2008

Y1 - 2008

N2 - Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.

AB - Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.

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Onset of synchronization in complex gradient networks

Abstract

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