Abnormal Synchronization in Complex Clustered Networks

Huang, Liang; Park, Kwangho; Lai, Ying–Cheng; Yang, Lei; Yang, Kelu

doi:10.1103/physrevlett.97.164101

Cited by 141 publications

(71 citation statements)

References 26 publications

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“…Given a complex network with a fixed (large) number of nodes, intuitively, its synchronizability can be improved by increasing the number of links, as a denser linkage makes the network more tightly coupled or, "smaller," thereby facilitating synchronization. Our recent work [35,36] on this problem has revealed a phenomenon that apparently contradicts this intuition. Namely, more links, which make the network smaller, do not necessarily lead to stronger synchronizability.…”

Section: Introductionmentioning

confidence: 87%

Synchronization in complex clustered networks

et al. 2007

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Synchronization in complex networks has been an active area of research in recent years. While much effort has been devoted to networks with the small-world and scale-free topology, structurally they are often assumed to have a single, densely connected component. Recently it has also become apparent that many networks in social, biological, and technological systems are clustered, as characterized by a number (or a hierarchy) of sparsely linked clusters, each with dense and complex internal connections. Synchronization is fundamental to the dynamics and functions of complex clustered networks, but this problem has just begun to be addressed. This paper reviews some progress in this direction by focusing on the interplay between the clustered topology and network synchronizability. In particular, there are two parameters characterizing a clustered network: the intra-cluster and the inter-cluster link density. Our goal is to clarify the roles of these parameters in shaping network synchronizability. By using theoretical analysis and direct numerical simulations of oscillator networks, it is demonstrated that clustered networks with random inter-cluster links are more synchronizable, and synchronization can be optimized when inter-cluster and intra-cluster links match. The latter result has one counterintuitive implication: more links, if placed improperly, can actually lead to destruction of synchronization, even though such links tend to decrease the average network distance. It is hoped that this review will help attract attention to the fundamental problem of clustered structures/synchronization in network science.

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Section: Introductionmentioning

confidence: 87%

Synchronization in complex clustered networks

et al. 2007

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“…Therefore, increasing the average connectivity to have larger k min can also lead to enhanced synchronization in random networks. However, if the network possesses modular structure, adding links inside the modules will increase the modularity and enhance synchronization within the modules, but reduce the synchronizability of the whole network [55]. If the links are added to enhance the communication between the modules, synchronization of the whole network can be enhanced.…”

Section: = F(x)mentioning

confidence: 99%

Topological Determinants of Synchronizability of Oscillators on Large Complex Networks

Zhou²

2011

TOBIOIJ

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Synchronized oscillations play an important role in many biological systems. In recent years, much work has been done on oscillating biomolecular systems, both experimentally and theoretically. A better insight into oscillation mechanisms, coupling strategies and related biological processes is gained by quantitative analysis. Here we summarized some of recent work on oscillation and synchronization in biological systems and reviewed the basic concepts of synchronization of coupled oscillators and dynamics on complex networks.

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“…since random graph [1], small-world network [2] and scale-free network [3] were presented by Erdös, Watts, and Barabási, respectively, and much progress has been made [4][5][6][7][8][9][10][11][12][13]. Especially, chaos synchronization in networks has become a focal point in network dynamics.…”

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confidence: 98%

Generalized synchronization of spatiotemporal chaos in a weighted complex network

Lü

2010

Nonlinear Dyn

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The nodes of the network are composed of the spatiotemporal chaos systems. The relations between the nodes are built through a weighted connection and the nonlinear terms of the chaos systems themselves are taken as coupling functions. The structure of the coupling functions between the connected nodes and the range of the control gain are obtained based on Lyapunov stability theory. It is proven that generalized chaos synchronization of the weight complex network can be realized even if the coupling strength between the nodes is adopted as any weight value. Subsequently, the catalytic reaction diffusion system which has spatiotemporal chaos behavior is taken as example, and simulation results show the effectiveness of the synchronization principle.

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Abnormal Synchronization in Complex Clustered Networks

Cited by 141 publications

References 26 publications

Synchronization in complex clustered networks

Synchronization in complex clustered networks

Topological Determinants of Synchronizability of Oscillators on Large Complex Networks

Generalized synchronization of spatiotemporal chaos in a weighted complex network

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