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The control of complex networks is of paramount importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that perturbations to one node can affect other nodes,…

无序系统与神经网络 · 物理学 2013-07-15 Sean P. Cornelius , William L. Kath , Adilson E. Motter

Money flow models are essential tools to understand different economical phenomena, like saving propensities and wealth distributions. In spite of their importance, most of them are based on synthetic transaction networks with simple…

综合金融 · 定量金融 2016-08-03 Massimiliano Zanin , David Papo , Miguel Romance , Regino Criado , Santiago Moral

Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are different from those of both the individual node and the whole…

物理与社会 · 物理学 2021-10-20 Paolo Bartesaghi , Stefano Benati , Gian Paolo Clemente , Rosanna Grassi

Our ability to control complex systems is a fundamental challenge of contemporary science. Recently introduced tools to identify the driver nodes, nodes through which we can achieve full control, predict the existence of multiple control…

Cities are widely considered the lifeblood of a nations economy housing the bulk of industries, commercial and trade activities, and employment opportunities. Within this economic context, multinational corporations play an important role…

物理与社会 · 物理学 2024-12-05 Mohammad Yousuf Mehmood , Syed Junaid Haqqani , Faraz Zaidi , Celine Rozenblat

We follow up on the study of correlations between GDP's of rich countries. We analyze web-downloaded data on GDP that we use as individual wealth signatures of the country economical state. We calculate the yearly fluctuations of the GDP.…

物理与社会 · 物理学 2012-09-25 M. Ausloos , R. Lambiotte

Great part of the interest in complex networks has been motivated by the presence of structured, frequently non-uniform, connectivity. Because diverse connectivity patterns tend to result in distinct network dynamics, and also because they…

无序系统与神经网络 · 物理学 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

系统与控制 · 电气工程与系统科学 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

A detailed empirical analysis of the productivity of non financial firms across several countries and years shows that productivity follows a non-Gaussian distribution with power law tails. We demonstrate that these empirical findings can…

物理与社会 · 物理学 2009-11-10 T. Di Matteo , T. Aste , M. Gallegati

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

物理与社会 · 物理学 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

离散数学 · 计算机科学 2024-03-05 Manouchehr Zaker

We address the problem of message transfer in a communication network. The network consists of nodes and links, with the nodes lying on a two dimensional lattice. Each node has connections with its nearest neighbours, whereas some special…

统计力学 · 物理学 2007-05-23 Brajendra K. Singh , Neelima M. Gupte

We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong…

统计力学 · 物理学 2010-09-14 Dmitri Krioukov , Fragkiskos Papadopoulos , Maksim Kitsak , Amin Vahdat , Marian Boguna

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

最优化与控制 · 数学 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

统计力学 · 物理学 2013-12-31 Márton Pósfai , Philipp Hövel

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

One explanation for the impressive recent boom in network theory might be that it provides a promising tool for an understanding of complex systems. Network theory is mainly focusing on discrete large-scale topological structures rather…

统计力学 · 物理学 2015-06-25 Stefan Thurner

Futures trading is the core of futures business, and it is considered as one of the typical complex systems. To investigate the complexity of futures trading, we employ the analytical method of complex networks. First, we use real trading…

统计金融 · 定量金融 2015-05-18 Junjie Wang , Shuigeng Zhou , Jihong Guan

Extracting understanding from the growing ``sea'' of biological and socio-economic data is one of the most pressing scientific challenges facing us. Here, we introduce and validate an unsupervised method that is able to accurately extract…

物理与社会 · 物理学 2009-11-13 M. Sales-Pardo , R. Guimera , A. Moreira , L. Amaral

Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may have high-dimensional dynamics, and the amount and nature of…

最优化与控制 · 数学 2020-12-07 Xiaodong Cheng , Jacquelien M. A. Scherpen