Manipulating directed networks for better synchronization

Zeng, An; Lü, Linyuan; Zhou, Tao

doi:10.1088/1367-2630/14/8/083006

Cited by 15 publications

(10 citation statements)

References 49 publications

(94 reference statements)

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“…In this case, he verified that optimized networks present homogeneous in-degree and skewed out-degree distributions. Directed networks were also analyzed by Zeng et al [341], where the authors changed only a fixed number of links in order to shorten the convergence time to synchronization on directed networks.…”

Section: Optimization Of Synchronizationmentioning

confidence: 99%

The Kuramoto model in complex networks

et al. 2016

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Synchronization of an ensemble of oscillators is an emergent phenomenon present in several complex systems, ranging from social and physical to biological and technological systems. The most successful approach to describe how coherent behavior emerges in these complex systems is given by the paradigmatic Kuramoto model. This model has been traditionally studied in complete graphs. However, besides being intrinsically dynamical, complex systems present very heterogeneous structure, which can be represented as complex networks. This report is dedicated to review main contributions in the field of synchronization in networks of Kuramoto oscillators. In particular, we provide an overview of the impact of network patterns on the local and global dynamics of coupled phase oscillators. We cover many relevant topics, which encompass a description of the most used analytical approaches and the analysis of several numerical results. Furthermore, we discuss recent developments on variations of the Kuramoto model in networks, including the presence of noise and inertia. The rich potential for applications is discussed for special fields in engineering, neuroscience, physics and Earth science. Finally, we conclude by discussing problems that remain open after the last decade of intensive research on the Kuramoto model and point out some promising directions for future research.

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Section: Optimization Of Synchronizationmentioning

confidence: 99%

The Kuramoto model in complex networks

et al. 2016

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“…Motter et al stated that the synchronous state of a power grid has important implications, and showed that the stability of synchronous states in power grids can be enhanced by tuning parameters of the dynamical units [7]. Zeng et al discussed the strategies to enhance synchronizability on directed networks by manipulating a fixed number of links [11]. Tang et al investigated the bifurcation of synchronized regions in delayed dynamical networks with varying nodal parameters, and the influence of coupling delay as well as bifurcation on network synchronizability [12].…”

Section: Introductionmentioning

confidence: 99%

Synchronizability of Duplex Networks

et al. 2016

IEEE Trans. Circuits Syst. II

137

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This paper presents some rules and properties about synchronizability of duplex networks composed of two networks interconnected by two links. For a specific duplex network composed of two star networks, analytical expressions containing the largest and smallest nonzero eigenvalues of the (weighted) Laplacian matrix, the interlink weight as well as the network size are given for three different inter-layer connection patterns. It is shown that connection patterns have great influence on the ability of the duplex system to synchronize and connecting high-degree nodes is the most effective way to achieve synchronization, while connecting low-degree nodes is the least. Numerical examples are also provided to verify the effectiveness of theoretical analysis. This work sheds new light on understanding synchronizability of groups of interconnected networks or networks of networks (NONs). Particularly, in the design of circuit networks such as power grids, the findings can facilitate engineers with optimal selections of interconnection patterns and parameter assignments, in terms of optimizing stability of desired synchronous states and minimizing control cost.Index Terms-Duplex network, networks of netowrks, synchronizability, interlink weight.

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“…Actually, this "less can be more" phenomenon has already been found in many dynamic process. The most well-known example is the synchronization process, in which the synchronizability can be enhanced by removing links [9,10].…”

Section: Introductionmentioning

confidence: 99%

Extracting the Information Backbone in Online System

2013

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Information overload is a serious problem in modern society and many solutions such as recommender system have been proposed to filter out irrelevant information. In the literature, researchers have been mainly dedicated to improving the recommendation performance (accuracy and diversity) of the algorithms while they have overlooked the influence of topology of the online user-object bipartite networks. In this paper, we find that some information provided by the bipartite networks is not only redundant but also misleading. With such “less can be more” feature, we design some algorithms to improve the recommendation performance by eliminating some links from the original networks. Moreover, we propose a hybrid method combining the time-aware and topology-aware link removal algorithms to extract the backbone which contains the essential information for the recommender systems. From the practical point of view, our method can improve the performance and reduce the computational time of the recommendation system, thus improving both of their effectiveness and efficiency.

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Manipulating directed networks for better synchronization

Cited by 15 publications

References 49 publications

The Kuramoto model in complex networks

The Kuramoto model in complex networks

Synchronizability of Duplex Networks

Extracting the Information Backbone in Online System

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