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The synchronization transition of correlated ensembles of coupled Kuramoto oscillators on sparse random networks is investigated. Extensive numerical simulations show that correlations between the native frequencies of adjacent oscillators…

统计力学 · 物理学 2010-06-16 Markus Brede

Uncorrelated random scale-free networks are useful null models to check the accuracy an the analytical solutions of dynamical processes defined on complex networks. We propose and analyze a model capable to generate random uncorrelated…

无序系统与神经网络 · 物理学 2009-11-10 Michele Catanzaro , Marian Boguna , Romualdo Pastor-Satorras

We obtain the clustering coefficient, the degree-dependent local clustering, and the mean clustering of networks with arbitrary correlations between the degrees of the nearest-neighbor vertices. The resulting formulas allow one to determine…

统计力学 · 物理学 2009-11-10 S. N. Dorogovtsev

It has been shown that many complex networks shared distinctive features, which differ in many ways from the random and the regular networks. Although these features capture important characteristics of complex networks, their applicability…

物理与社会 · 物理学 2009-11-11 Chang-Yong Lee , Sunghwan Jung

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

适应与自组织系统 · 物理学 2015-08-24 Per Sebastian Skardal , Alex Arenas

In this paper, we propose a simple rule that generates scale-free small-world networks with tunable assortative coefficient. These networks are constructed by two-stage adding process for each new node. The model can reproduce scale-free…

物理与社会 · 物理学 2009-11-11 Qiang Guo , Tao Zhou , Jian-Guo Liu , Wen-Jie Bai , Bing-Hong Wang , Ming Zhao

Cloud radio networks coordinate transmission among base stations (BSs) to reduce the interference effects, particularly for the cell-edge users. In this paper, we analyze the performance of a cloud network with static clustering where…

信息论 · 计算机科学 2015-12-21 Sreejith T. Veetil , Kiran Kuchi , Radha Krishna Ganti

This paper deals with the chaotic oscillator synchronization. A new approach to detect the synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series…

混沌动力学 · 物理学 2009-11-11 Alexander E. Hramov , Alexey A. Koronovskii , Yurij I. Levin

A general scheme for detecting and analyzing topological patterns in large complex networks is presented. In this scheme the network in question is compared with its properly randomized version that preserves some of its low-level…

统计力学 · 物理学 2008-03-25 Sergei Maslov , Kim Sneppen , Alexei Zaliznyak

Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially…

斑图形成与孤子 · 物理学 2026-02-27 Oleh E. Omel'chenko

Apart from the role the clustering coefficient plays in the definition of the small-world phenomena, it also has great relevance for practical problems involving networked dynamical systems. To study the impact of the clustering coefficient…

物理与社会 · 物理学 2022-07-19 Robert E. Kooij , Nikolaj Horsevad Sørensen , Roland Bouffanais

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

无序系统与神经网络 · 物理学 2009-10-31 Esteban Moro , Angel Sanchez

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…

统计力学 · 物理学 2007-05-23 Ming Zhao , Tao Zhou , Bing-Hong Wang , Wen-Xu Wang

Coupled oscillator-based networks are an attractive approach for implementing hardware neural networks based on emerging nanotechnologies. However, the readout of the state of a coupled oscillator network is a difficult challenge in…

新兴技术 · 计算机科学 2016-07-08 Damir Vodenicarevic , Nicolas Locatelli , Julie Grollier , Damien Querlioz

We investigate properties of the correlation function of clusters of galaxies using geometrical models. On small scales the correlation function depends on the shape and the size of superclusters. On large scales it describes the geometry…

天体物理学 · 物理学 2015-06-24 J. Einasto , M. Einasto , P. Frisch , S. Gottlöber , V. Müller , V. Saar , A. A. Starobinsky , D. Tucker

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

统计力学 · 物理学 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

适应与自组织系统 · 物理学 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desychronize a system. By introducing noise in…

适应与自组织系统 · 物理学 2013-09-26 Yi Ming Lai , Mason A. Porter

A family of stochastic processes has quasi-cycle oscillations if the oscillations are sustained by noise. For such a family we define a Kuramoto-type coupling of both phase and amplitude processes. We find that synchronization, as measured…

动力系统 · 数学 2015-11-30 Priscilla E. Greenwood , Lawrence M. Ward

We consider an extension of Kuramoto's model of coupled phase oscillators where oscillator pairs interact with different strengths. When the coupling coefficient of each pair can be separated into two different factors, each one associated…

斑图形成与孤子 · 物理学 2009-11-13 Gabriel H. Paissan , Damian H. Zanette
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