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The recent surge in the network modeling of complex systems has set the stage for a new era in the study of fundamental and applied aspects of optimization in collective behavior. This Focus Issue presents an extended view of the state of…

Disordered Systems and Neural Networks · Physics 2007-07-10 Adilson E. Motter , Zoltan Toroczkai

Multiplex networks are representations of multilayer interconnected complex networks where the nodes are the same at every layer. They turn out to be good abstractions of the intricate connectivity of multimodal transportation networks,…

Physics and Society · Physics 2016-03-23 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas

We study collective synchronization of pulse-coupled oscillators interacting on asymmetric random networks. We demonstrate that random matrix theory can be used to accurately predict the speed of synchronization in such networks in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marc Timme , Fred Wolf , Theo Geisel

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Chai Wah Wu

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Multi-connectivity is emerging as promising solution to provide reliable communications and seamless connectivity at the millimeter-wave frequency range. Due to the obstacles that cause frequent interruptions at such high frequency range,…

Networking and Internet Architecture · Computer Science 2018-12-18 Cristian Tatino , Ilaria Malanchini , Nikolaos Pappas , Di Yuan

In this work we study the interplay between the dynamics of a model of diffusion governed by a mechanism of imitation and its underlying structure. The dynamics of the model can be quantified by a macroscopic observable which permits the…

Statistical Mechanics · Physics 2009-11-10 Mateu Llas , Pablo M. Gleiser , Albert Diaz-Guilera , Conrad J. Perez

The study of interlayer similarity of multiplex networks helps to understand the intrinsic structure of complex systems, revealing how changes in one layer can propagate and affect others, thus enabling broad implications for…

Social and Information Networks · Computer Science 2025-05-13 Haoran Nan , Senquan Wang , Chun Ouyang , Yanchen Zhou , Weiwei Gu

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

The multiple access scheduling decides how the channel is shared among the nodes in the network. Typical scheduling algorithms aims at increasing the channel utilization and thereby throughput of the network. This paper describes several…

Information Theory · Computer Science 2025-09-30 Vijaya Yajnanarayana , Klas E. G. Magnusson , Rasmus Brandt , Satyam Dwivedi , Peter Händel

Previous work on cooperative communications has concentrated primarily on the diversity benefits of such techniques. This paper, instead, considers the multiplexing benefits of cooperative communications. First, a new interpretation on the…

Information Theory · Computer Science 2009-03-16 Yijia , Fan , Chao Wang , H. Vincent Poor , John S. Thompson

We provide a general framework for the problem of data offloading in a heterogeneous wireless network, where some demand of cellular users is served by a complementary network. The complementary network is either a small-cell network that…

Information Theory · Computer Science 2016-11-18 Chin Keong Ho , Di Yuan , Sumei Sun

This work studies how to preemptively increase the resilience of a network by means of time-varying topological actuation. To do this, we focus on linear dynamical systems that are compatible with a given network, and consider policies that…

Optimization and Control · Mathematics 2026-02-24 Fei Chen , Jorge Cortés , Sonia Martínez

System-centric modeling and analysis are of key significance in planning and optimizing cellular networks. In this paper, we provide a mathematical analysis of performance modeling for LTE networks. The system model characterizes the…

Information Theory · Computer Science 2012-01-20 Iana Siomina , Di Yuan

Designing high-performing networks requires optimizing for functionality while respecting physical, geometric, or budget constraints. Yet, mathematical and computational tools to design such systems remain limited, particularly for…

Adaptation and Self-Organizing Systems · Physics 2026-05-14 Guram Mikaberidze , Dane Taylor

Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Yuanzhao Zhang , Steven H. Strogatz

Computing layer similarities is an important way of characterizing multiplex networks because various static properties and dynamic processes depend on the relationships between layers. We provide a taxonomy and experimental evaluation of…

Social and Information Networks · Computer Science 2018-08-13 Piotr Bródka , Anna Chmiel , Matteo Magnani , Giancarlo Ragozini

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

Machine Learning · Computer Science 2022-11-02 Xinmeng Huang , Kun Yuan

We study optimal synchronization of networks of coupled phase oscillators. We extend previous theory for optimizing the synchronization properties of undirected networks to the important case of directed networks. We derive a generalized…

Adaptation and Self-Organizing Systems · Physics 2016-06-24 Per Sebastian Skardal , Dane Taylor , Jie Sun

We explore numerically the synchronization effects in a heterogeneous two-layer network of two-dimensional (2D) lattices of van der Pol oscillators.The inter-layer coupling of the multiplex network has an attractive character. One layer of…

Pattern Formation and Solitons · Physics 2021-03-17 Igor A. Shepelev , Sishu Shankar Muni , Tatyana E. Vadivasova
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