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In this paper, we investigate the factors that affect the synchronization of coupled oscillators on networks. By using the edge-intercrossing method, we keep the degree distribution unchanged to see other statistical properties' effects on…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bing Wang , Huanwen Tang , Tao Zhou , Zhilong Xiu

Synchronization is critical for system level behaviour in physical, chemical, biological and social systems. Empirical evidence has shown that the network topology strongly impacts the synchronizablity of the system, and the analysis of…

Social and Information Networks · Computer Science 2021-11-24 Mengbang Zou , Weisi Guo

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

Network's resilience to the malfunction of its components has been of great concern. The goal of this work is to determine the network design guidelines, which maximizes the network efficiency while keeping the cost of the network (that is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bing Wang , Huanwen Tang , Chonghui Guo , Zhilong Xiu , Tao Zhou

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

In this paper, we explore the relationship between the topological characteristics of a complex network and its robustness to sustained targeted attacks. Using synthesised scale-free, small-world and random networks, we look at a number of…

Physics and Society · Physics 2014-02-27 Dharshana Kasthurirathna , Mahendra Piraveenan , Gnanakumar Thedchanamoorthy

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

Disordered Systems and Neural Networks · Physics 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

While shorter characteristic path length has in general been believed to enhance synchronizability of a coupled oscillator system on a complex network,the suppressing tendency of the heterogeneity of the degree distribution, even for…

Statistical Mechanics · Physics 2009-11-10 H. Hong , Beom Jun Kim , M. Y. Choi , Hyunggyu Park

We study the synchronization transition of Kuramoto oscillators in scale-free networks that are characterized by tunable local properties. Specifically, we perform a detailed finite size scaling analysis and inspect how the critical…

Statistical Mechanics · Physics 2015-06-25 Jesus Gomez-Gardenes , Yamir Moreno

In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically and experimentally how the degree of the nodes through which two networks are…

Physics and Society · Physics 2015-06-19 J. Aguirre , R. Sevilla-Escoboza , R. Gutiérrez , D. Papo , J. M. Buldú

In this Letter, we propose a growing network model that can generate scale-free networks with a tunable community strength. The community strength, $C$, is directly measured by the ratio of the number of external edges to internal ones; a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Tao Zhou , Ming Zhao , Guanrong Chen , Gang Yan , Bing-Hong Wang

Originally, protocols were designed for multi-agent systems (MAS) using information about the network which might not be available. Recently, there has been a focus on scale-free synchronization where the protocol is designed without any…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Anton A. Stoorvogel , Ali Saberi , Zhenwei Liu

A growing family of random graphs is called robust if it retains a giant component after percolation with arbitrary positive retention probability. We study robustness for graphs, in which new vertices are given a spatial position on the…

Probability · Mathematics 2015-04-08 Emmanuel Jacob , Peter Morters

In this paper, we investigate the collective synchronization of system of coupled oscillators on Barab\'{a}si-Albert scale-free network. We propose an approach of structural perturbations aiming at those nodes with maximal betweenness. This…

Statistical Mechanics · Physics 2007-05-23 Ming Zhao , Tao Zhou , Bing-Hong Wang , Wen-Xu Wang

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

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

There are different ways to define similarity for grouping similar texts into clusters, as the concept of similarity may depend on the purpose of the task. For instance, in topic extraction similar texts mean those within the same semantic…

Computation and Language · Computer Science 2013-03-05 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity…

Adaptation and Self-Organizing Systems · Physics 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

Structure entails function and thus a structural description of the brain will help to understand its function and may provide insights into many properties of brain systems, from their robustness and recovery from damage, to their dynamics…

Neurons and Cognition · Quantitative Biology 2008-08-27 Marcus Kaiser , Robert Martin , Peter Andras , Malcolm P. Young

In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Barthelemy
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