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In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize the hub behavior as the mean-field, subject to statistically…

动力系统 · 数学 2025-06-25 Zheng Bian , Jeroen S. W. Lamb , Tiago Pereira

Our goal is to analyze performance of stable linear dynamical networks subject to external stochastic disturbances. The square of the $\mathcal H_2$-norm of the network is used as a performance measure to quantify the expected steady-state…

系统与控制 · 计算机科学 2015-02-04 Milad Siami , Nader Motee

Diversity is a concept relevant to numerous domains of research varying from ecology, to information theory, and to economics, to cite a few. It is a notion that is steadily gaining attention in the information retrieval, network analysis,…

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

物理与社会 · 物理学 2016-07-19 Vikram Sagar , Yi Zhao

Recently, some studies have revealed that non-Poissonian statistics of human behaviors stem from the hierarchical geographical network structure. On this view, we focus on epidemic spreading in the hierarchical geographical networks, and…

物理与社会 · 物理学 2015-06-04 Zhi-Dan Zhao , Ying Liu , Ming Tang

In this work, we study the dynamical robustness in a system consisting of both active and inactive oscillators. We analytically show that the dynamical robustness of such system is determined by the cross link density between active and…

适应与自组织系统 · 物理学 2017-03-01 Wenwen Huang , Xiyun Zhang , Xin Hu , Zonghua Liu , Shuguang Guan

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Trophic coherence, a measure of the extent to which the nodes of a directed network are organised in levels, has recently been shown to be closely related to many structural and dynamical aspects of complex systems, including graph…

物理与社会 · 物理学 2016-07-22 Janis Klaise , Samuel Johnson

Spreading broadly refers to the notion of an entity propagating throughout a networked system via its interacting components. Evidence of its ubiquity and severity can be seen in a range of phenomena, from disease epidemics to financial…

物理与社会 · 物理学 2018-04-25 Christos Ellinas

We consider the algorithmic problem of selecting a set of target nodes that cause the biggest activation cascade in a network. In case when the activation process obeys the diminishing returns property, a simple hill-climbing selection…

物理与社会 · 物理学 2009-05-08 Aram Galstyan , Vahe Musoyan , Paul Cohen

Network coherence generally refers to the emergence of simple aggregated dynamical behaviours, despite heterogeneity in the dynamics of the subsystems that constitute the network. In this paper, we develop a general frequency domain…

系统与控制 · 电气工程与系统科学 2023-02-17 Hancheng Min , Richard Pates , Enrique Mallada

Analyzing and controlling spreading processes are challenging problems due to the involved non-linear node (subsystem) dynamics, unknown disturbances, complex interconnections, and the large-scale and multi-level nature of the problems. The…

系统与控制 · 电气工程与系统科学 2025-10-13 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

物理与社会 · 物理学 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

Measurements and data analysis have proved very effective in the study of the Internet's physical fabric and have shown heterogeneities and statistical fluctuations extending over several orders of magnitude. Here we analyze performance…

凝聚态物理 · 物理学 2009-11-07 Roberto Percacci , Alessandro Vespignani

We study the use of local heuristics to determine spanning subgraphs for use in the dissemination of information in complex networks. We introduce two different heuristics and analyze their behavior in giving rise to spanning subgraphs that…

网络与互联网体系结构 · 计算机科学 2007-05-23 A. O. Stauffer , V. C. Barbosa

Due to emerging technology, efficient multitasking approach is highly demanded. But it is hard to accomplish in heterogeneous wireless networks, where diverse networks have dissimilar geometric features in service and traffic models.…

网络与互联网体系结构 · 计算机科学 2013-09-19 Muhammad Shoaib Khan , Khaled Elleithy

For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the…

物理与社会 · 物理学 2019-04-10 Mi Jin Lee , Deok-Sun Lee

Degree heterogeneity and latent geometry, also referred to as popularity and similarity, are key explanatory components underlying the structure of real-world networks. The relationship between these components and the statistical…

社会与信息网络 · 计算机科学 2024-09-18 Keith Malcolm Smith , Jason P. Smith

Future wireless networks are required to support 1000 times higher data rate, than the current LTE standard. In order to meet the ever increasing demand, it is inevitable that, future wireless networks will have to develop seamless…

信息论 · 计算机科学 2015-06-23 Young Jin Chun , Mazen Omar Hasna , Ali Ghrayeb , Marco Di Renzo

In multiplex networks with a large number of layers, the nodes can have different activities, indicating the total number of layers in which the nodes are present. Here we model multiplex networks with heterogeneous activity of the nodes…

物理与社会 · 物理学 2016-03-15 Davide Cellai , Ginestra Bianconi