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Related papers: Hub Synchronization in Scale-Free Networks

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Small-world and scale-free networks are known to be more easily synchronized than regular lattices, which is usually attributed to the smaller network distance between oscillators. Surprisingly, we find that networks with a homogeneous…

Disordered Systems and Neural Networks · Physics 2009-11-10 Takashi Nishikawa , Adilson E. Motter , Ying-Cheng Lai , Frank C. Hoppensteadt

Using a recently described technique for manipulating the clustering coefficient of a network without changing its degree distribution, we examine the effect of clustering on the synchronization of phase oscillators on networks with Poisson…

Disordered Systems and Neural Networks · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

Social and Information Networks · Computer Science 2024-09-16 Rakib Hassan Pran

The contradiction between the fact that many empirical networks possess power-law degree distribution and the finding that network of heterogeneous degree distribution is difficult to synchronize has been a paradox in the study of network…

Chaotic Dynamics · Physics 2007-05-23 Xingang Wang , Ying-Cheng Lai , Choy Heng Lai

The propensity for synchronization is studied in a complex network of asymmetrically coupled units, where the asymmetry in a given link is determined by the relative age of the involved nodes. In growing scale-free networks synchronization…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dong-Uk Hwang , Mario Chavez , Andreas Amann , Stefano Boccaletti

Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted coupling). Here we uncover a condition for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean field…

Statistical Mechanics · Physics 2007-05-23 Deok-Sun Lee

A large number of complex networks, both natural and artificial, share the presence of highly heterogeneous, scale-free degree distributions. A few mechanisms for the emergence of such patterns have been suggested, optimization not being…

Statistical Mechanics · Physics 2009-11-07 S. Valverde , R. Ferrer i Cancho , R. V. Sole

We study synchronization phenomena in scale-free networks of asymetrically coupled dynamical systems featuring degree-degree correlation in the connection wiring. We show that when the interaction is dominant from the high-degree to the…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Sorrentino , M. di Bernardo , G. Huerta Cuellar , S. Boccaletti

Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as…

Statistical Mechanics · Physics 2007-05-23 M. Baiesi , S. S. Manna

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In this paper, we investigate the synchronization phenomena in a scale-free…

Condensed Matter · Physics 2007-05-23 Xiao Fan Wang , Guanrong Chen

We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii)…

Disordered Systems and Neural Networks · Physics 2009-11-10 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

Networks with a scale-free degree distribution are widely thought to promote cooperation in various games. Herein, by studying the well-known prisoner's dilemma game, we demonstrate that this need not necessarily be true. For the very same…

Physics and Society · Physics 2021-10-27 Deep Nath , Saptarshi Sinha , Soumen Roy

Recently there have been a tremendous interest in models of networks with a power-law distribution of degree -- so called "scale-free networks." It has been observed that such networks, normally, have extremely short path-lengths, scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

Real-life networks often encounter vertex dysfunctions, which are usually followed by recoveries after appropriate maintenances. In this paper we present our research on a model of scale-free networks whose vertices are regularly removed…

Physics and Society · Physics 2013-10-08 Linjun Li , Xiangwen Wang

A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs. We show the existence of a more general dynamical…

Cluster synchronization in synthetic networks of coupled chaotic oscillators is investigated. It is found that despite the asymmetric nature of the network structure, a subset of the oscillators can be synchronized as a cluster while the…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Huawei Fan , Yafeng Wang , Yao Du , Haibo Qiu , Xingang Wang

A scale-free network is grown in the Euclidean space with a global directional bias. On a vertical plane, nodes are introduced at unit rate at randomly selected points and a node is allowed to be connected only to the subset of nodes which…

Statistical Mechanics · Physics 2009-11-10 S. S. Manna , G. Mukherjee , Parongama Sen
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