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THE MANY FACES OF SYNCHRONIZATION OF NETWORKS

SHUGUANG GUAN

Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062, China

Temasek Laboratories, National University of Singapore, Singapore 117508, Singapore

Beijing–Hong Kong–Singapore Joint Center of Nonlinear & Complex Systems, National University of Singapore, Singapore

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XINGANG WANG

Temasek Laboratories, National University of Singapore, Singapore 117508, Singapore

Beijing–Hong Kong–Singapore Joint Center of Nonlinear & Complex Systems, National University of Singapore, Singapore

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KUN LI

Temasek Laboratories, National University of Singapore, Singapore 117508, Singapore

Beijing–Hong Kong–Singapore Joint Center of Nonlinear & Complex Systems, National University of Singapore, Singapore

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, and

C.-H. LAI

Beijing–Hong Kong–Singapore Joint Center of Nonlinear & Complex Systems, National University of Singapore, Singapore

Department of Physics, National University of Singapore, Singapore 117543, Singapore

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https://doi.org/10.1142/S021798490902014XCited by:1 (Source: Crossref)

Abstract

Currently, synchronizability of networks is mainly studied in terms of the eigen ratio of the coupling matrix, which is a pure property of network topology. In this work, we clarify that although the eigen ratio is relevant to the possible range of coupling strength for achieving synchronization, it cannot fully determine the latter. The magnitude of the eigenvalues also plays a decisive role. We emphasize that synchronizability of networks is inherently related to the local dynamics on networks. It is not appropriate to discuss synchronizability of networks without considering the specific dynamics on them. For three typical types of local dynamics, we discuss the implication of synchronizability of networks.

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