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We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

统计力学 · 物理学 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

A new family of graphs, {\it entangled networks}, with optimal properties in many respects, is introduced. By definition, their topology is such that optimizes synchronizability for many dynamical processes. These networks are shown to have…

统计力学 · 物理学 2009-11-11 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

Biological networks are customarily described as structurally robust. This means that they often function extremely well under large forms of perturbations affecting both the concentrations and the kinetic parameters. In order to explain…

最优化与控制 · 数学 2026-02-20 M. Ali Al-Radhawi , David Angeli , Eduardo Sontag

Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered…

无序系统与神经网络 · 物理学 2013-10-08 Luis Carlos Garcidel Molino , Khashayar Pakdaman , Jonathan Touboul , Gilles Wainrib

Complex network theory has recently been proposed as a promising tool for characterising interactions between aircraft, and their downstream effects. We here explore the problem of networks' topological predictability, i.e. the dependence…

物理与社会 · 物理学 2025-05-01 Raúl López-Martín , Massimiliano Zanin

Complex systems often exhibit highly structured network topologies that reflect functional constraints. In this work, we investigate how, under varying combinations of system-wide selection rules and special agents, different classes of…

适应与自组织系统 · 物理学 2025-06-02 Amalia Puente , Diego Radillo-Ochoa , C. A. Terrero-Escalante

The spring network model constitutes the backbone in the representations of a host of physical systems. In this work, we report the disturbance-driven microscopic dynamics of an isolated, closed spring network of spherical topology in…

软凝聚态物质 · 物理学 2025-08-26 Zhenwei Yao

Multilayer systems are coupled networks characterized by different contexts (layers) of interaction and have gained much attention recently due to their suitability to describe a broad spectrum of empirical complex systems. They are very…

物理与社会 · 物理学 2020-09-21 Oriol Artime , Manlio De Domenico

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

概率论 · 数学 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

The network of interactions in complex systems, strongly influences their resilience, the system capability to resist to external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in…

物理与社会 · 物理学 2018-04-11 Malbor Asllani , Timoteo Carletti

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

物理与社会 · 物理学 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

The unreal high flows may appear on the actually congested links in the result when a monotonically increasing link travel time function of flow volume is adopted in traffic assignment. The fixed link flow results of a static traffic…

系统与控制 · 电气工程与系统科学 2020-06-02 Shengxue He

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

物理与社会 · 物理学 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

种群与进化 · 定量生物学 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of…

物理与社会 · 物理学 2016-06-08 Young-Ho Eom , Stefano Boccaletti , Guido Caldarelli

We are surrounded by spatio-temporal patterns resulting from the interaction of the numerous basic units constituting natural or human-made systems. In presence of diffusive-like coupling, Turing theory has been largely applied to explain…

斑图形成与孤子 · 物理学 2025-09-15 Marie Dorchain , S. Nirmala Jenifer , Timoteo Carletti

Most of the complex social, technological and biological networks have a significant community structure. Therefore the community structure of complex networks has to be considered as a universal property, together with the much explored…

物理与社会 · 物理学 2014-12-02 Ginestra Bianconi , Richard K. Darst , Jacopo Iacovacci , Santo Fortunato

Recently, De Martino et al have presented a general framework for the study of transportation phenomena on complex networks. One of their most significant achievements was a deeper understanding of the phase transition from the uncongested…

物理与社会 · 物理学 2013-05-30 Norbert Barankai , Attila Fekete , Gábor Vattay

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

无序系统与神经网络 · 物理学 2015-05-19 Markus Brede