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The way the topological structure goes from a decoupled state into a coupled one in multiplex networks has been widely studied by means of analytical and numerical studies, involving models of artificial networks. In general, these…

物理与社会 · 物理学 2018-08-15 Johann H. Martínez , Stefano Boccaletti , Vladimir V. Makarov , Javier M. Buldú

Network robustness is a central point in network science, both from a theoretical and a practical point of view. In this paper, we show that layer degradation, understood as the continuous or discrete loss of links' weight, triggers a…

物理与社会 · 物理学 2019-07-31 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects of random redistribution of link weights…

统计力学 · 物理学 2007-05-23 Menghui Li , Ying Fan , Dahui Wang , Na Liu , Daqing Li , Jinshan Wu , Zengru Di

Interlayer link prediction aims at matching the same entities across different layers of the multiplex network. Existing studies attempt to predict more accurately, efficiently, or generically from the aspects of network structure,…

物理与社会 · 物理学 2022-05-19 Rui Tang , Shuyu Jiang , Xingshu Chen , Wenxian Wang , Wei Wang

Many real-world systems can be modeled as interconnected multilayer networks, namely a set of networks interacting with each other. Here we present a perturbative approach to study the properties of a general class of interconnected…

物理与社会 · 物理学 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

We investigate the transition to synchronization in a two-layer network with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the time-scale of topological changes. Initially, we observe a smooth…

适应与自组织系统 · 物理学 2021-11-03 Muhittin Cenk Eser , Everton S. Medeiros , Mustafa Riza , Anna Zakharova

The understanding of the relationship between topology and behaviour in interconnected networks would allow to characterise and predict behaviour in many real complex networks since both are usually not simultaneously known. Most previous…

混沌动力学 · 物理学 2015-12-02 M. S. Baptista , R. M. Szmoski , R. F. Pereira , S. E. de Souza Pinto

It is well-known that the synchronization of diffusively-coupled systems on networks strongly depends on the network topology. In particular, the so-called algebraic connectivity $\mu_{N-1}$, or the smallest non-zero eigenvalue of the…

系统与控制 · 计算机科学 2013-04-19 J. Martin-Hernandez , H. Wang , P. Van Mieghem , G. D'Agostino

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

混沌动力学 · 物理学 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

We study the influence of network topology and connectivity on the synchronization properties of chaotic logistic maps, interacting with random delay times. Four different types of topologies are investigated: two regular (a ring-type and a…

混沌动力学 · 物理学 2007-05-23 Arturo C. Marti , C. Marcelo Ponce , Cristina Masoller

Natural and man-made networks often possess locally tree-like sub-structures. Taking such tree networks as our starting point, we show how the addition of links changes the synchronization properties of the network. We focus on two…

We examine a model of network formation in single-layer and multiplex networks in which individuals have positive incentives for social ties, closed triangles, and spillover edges. In particular, we investigate the influence of shocks to…

社会与信息网络 · 计算机科学 2018-05-18 Paul E. Smaldino , Raissa D'Souza , Zeev Maoz

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

统计力学 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

We investigate the optimization of synchronizability in multiplex networks and demonstrate that the interlayer coupling strength is the deciding factor for the efficiency of optimization. The optimized networks have homogeneity in the…

物理与社会 · 物理学 2016-02-26 Sanjiv K. Dwivedi , Camellia Sarkar , Sarika Jalan

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

动力系统 · 数学 2023-03-31 Paolo Bartesaghi

Many real-world complex systems are best modeled by multiplex networks. The multiplexity has proved to have broad impact on the system's structure and function. Most theoretical studies on multiplex networks to date, however, have largely…

物理与社会 · 物理学 2017-07-28 Byungjoon Min , Sangchul Lee , Kyu-Min Lee , K. -I. Goh

We investigate how the response of coupled dynamical systems is modified due to a structural alteration of the interaction. The majority of the literature focuses on additive perturbations and symmetrical interaction networks. Here, we…

无序系统与神经网络 · 物理学 2026-01-27 Melvyn Tyloo

Multilayer infrastructure is often interdependent, with nodes in one layer depending on nearby nodes in another layer to function. The links in each layer are often of limited length, due to the construction cost of longer links. Here, we…

物理与社会 · 物理学 2016-09-13 Michael M. Danziger , Louis M. Shekhtman , Yehiel Berezin , Shlomo Havlin

Adaptation plays a pivotal role in the evolution of natural and artificial complex systems, and in the determination of their functionality. Here, we investigate the impact of adaptive inter-layer processes on intra-layer synchronization in…

适应与自组织系统 · 物理学 2020-10-20 Ajay Deep Kachhvah , Xiangfeng Dai , Stefano Boccaletti , Sarika Jalan

Inter-layer synchronization is a distinctive process of multiplex networks whereby each node in a given layer undergoes a synchronous evolution with all its replicas in other layers, irrespective of whether or not it is synchronized with…

适应与自组织系统 · 物理学 2021-05-31 R. Sevilla-Escoboza , I. Sendiña-Nadal , I. Leyva , R. Gutiérrez , J. M. Buldú , S. Boccaletti
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