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Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

物理与社会 · 物理学 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

适应与自组织系统 · 物理学 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution and node betweenness centrality, but…

组合数学 · 数学 2007-06-21 Zhisheng Duan , Guanrong Chen , Lin Huang

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…

无序系统与神经网络 · 物理学 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

无序系统与神经网络 · 物理学 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

We propose that negative degree correlation among nodes in a network of nonlinear oscillators, often detected in real world networks, is motivated by its positive effects on synchronizability. In so doing, we use a novel methodology to…

无序系统与神经网络 · 物理学 2007-12-08 Mario di Bernardo , Franco Garofalo , Francesco Sorrentino

Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system. While a vast part of the literature has investigated the emergence of network synchronization for the…

系统与控制 · 电气工程与系统科学 2023-09-01 Amirhossein Nazerian , Shirin Panahi , Francesco Sorrentino

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of non-identical…

适应与自组织系统 · 物理学 2015-09-30 Celso Freitas , Elbert Macau , Ricardo Luiz Viana

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

混沌动力学 · 物理学 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

In this paper, the relationship between the network synchronizability and the edge distribution of its associated graph is investigated. First, it is shown that adding one edge to a cycle definitely decreases the network sychronizability.…

网络与互联网体系结构 · 计算机科学 2007-11-16 Zhisheng Duan , Wenxu Wang , Chao Liu , Guanrong Chen

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

无序系统与神经网络 · 物理学 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

As a quantification of the main bottleneck to flow over a graph, the network property of conductance plays an important role in the process of synchronization of network-coupled dynamical systems. Diffusive coupling terms serve not only to…

物理与社会 · 物理学 2025-10-29 C. Tyler Diggans

We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network…

无序系统与神经网络 · 物理学 2007-06-22 Fatihcan M. Atay , Turker Biyikoglu , Juergen Jost

The graph theoretic properties of the clustering coefficient, characteristic (or average) path length, global and local efficiency, provide valuable information regarding the structure of a graph. These four properties have applications to…

组合数学 · 数学 2017-09-25 Alexander Strang , Oliver Haynes , Nathan D. Cahill , Darren A. Narayan

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…

适应与自组织系统 · 物理学 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

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

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

混沌动力学 · 物理学 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite…

适应与自组织系统 · 物理学 2021-04-29 Yoshiki Sugitani , Yuanzhao Zhang , Adilson E. Motter

We study the synchronizability and the synchronization dynamics of networks of nonlinear oscillators. We investigate how the synchronization of the network is influenced by some of its topological features such as variations of the power…

无序系统与神经网络 · 物理学 2007-12-08 Mario di Bernardo , Franco Garofalo , Francesco Sorrentino