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The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

Double-diffusive instabilities are often invoked to explain enhanced transport in stably-stratified fluids. The most-studied natural manifestation of this process, fingering convection, commonly occurs in the ocean's thermocline and…

Fluid Dynamics · Physics 2015-05-19 A. Traxler , S. Stellmach , P. Garaud , T. Radko , N. Brummell

We study the temporal evolution of the structure of the world's largest subway networks in an exploratory manner. We show that, remarkably, all these networks converge to {a shape which shares similar generic features} despite their…

Physics and Society · Physics 2013-02-19 Camille Roth , Soong Moon Kang , Michael Batty , Marc Barthelemy

Rigidity is an emergent property of materials - it is not a feature of individual components that comprise the structure, but instead arises from interactions between many constituent parts. Recently, it has been recognized that…

Soft Condensed Matter · Physics 2025-08-27 Kelly Aspinwall , Tyler Hain , M. Lisa Manning

Networks are fundamental building blocks for representing data, and computations. Remarkable progress in learning in structurally defined (shallow or deep) networks has recently been achieved. Here we introduce evolutionary exploratory…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Rise Ooi , Chao-Han Huck Yang , Pin-Yu Chen , Vìctor Eguìluz , Narsis Kiani , Hector Zenil , David Gomez-Cabrero , Jesper Tegnèr

Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological properties along different hierarchical levels. In this work, we…

Pattern Formation and Solitons · Physics 2023-06-19 Alexandre Benatti , Luciano da Fontoura Costa

We develop an agent-based model of strategic link formation in Research and Development (R&D) networks. Empirical evidence has shown that the growth of these networks is driven by mechanisms which are both endogenous to the system (that is,…

Like other social animals and biological systems, human groups constantly exchange information. Network models provide a way of quantifying this process by representing the pathways of information propagation between individuals. Existing…

Social and Information Networks · Computer Science 2024-10-18 Niek Kerssies , Jose Segovia Martin , James Winters

Changes in air transport networks over time may be induced by competition among carriers, changes in regulations on airline industry, and socioeconomic events such as terrorist attacks and epidemic outbreaks. Such network changes may…

Physics and Society · Physics 2021-03-17 Kashin Sugishita , Naoki Masuda

Flows over remarkably long distances are crucial to the functioning of many organisms, across all kingdoms of life. Coordinated flows are fundamental to power deformations, required for migration or development, or to spread resources and…

Biological Physics · Physics 2018-10-19 Jean-Daniel Julien , Karen Alim

Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear…

Cell Behavior · Quantitative Biology 2009-11-13 Andras Szabo , Erica D. Perryn , Andras Czirok

Segmentation in arthropod embryogenesis represents a well-known example of body plan diversity. Striped patterns of gene expression that lead to the future body segments appear simultaneously or sequentially in long and short germ-band…

Molecular Networks · Quantitative Biology 2008-07-31 Koichi Fujimoto , Shuji Ishihara , Kunihiko Kaneko

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

Water distribution networks (WDNs) expand their service areas over time. These growth dynamics are poorly understood. One facet of WDNs is that they have loops in general, and closing loops may be a functionally important process for…

Physics and Society · Physics 2021-11-30 Kashin Sugishita , Noha Abdel-Mottaleb , Qiong Zhang , Naoki Masuda

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

The presence and structure of an Orr-like inviscid mechanism is studied in fully developed, large-scale turbulent channel flow. Orr-like `bursts' are defined by the relation between the amplitude and local tilting angle of the wall-normal…

Fluid Dynamics · Physics 2020-12-02 Miguel P. Encinar , Javier Jimenez

We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible.…

Statistical Mechanics · Physics 2009-11-10 Vittoria Colizza , Jayanth R. Banavar , Amos Maritan , Andrea Rinaldo

We investigate the laminar flow of two-fluid mixtures inside a simple network of inter-connected tubes. The fluid system is comprised of two miscible Newtonian fluids of different viscosity which do not mix and remain as nearly distinct…

Fluid Dynamics · Physics 2015-03-05 Brian D. Storey , Deborah V. Hellen , Nathaniel J. Karst , John B. Geddes

Networks are widely used to model the interaction between individual dynamical systems. In many instances, the total number of units as well as the interaction coupling are not fixed in time, but rather constantly evolve. In terms of…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Melvyn Tyloo

We show that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our results offer an explanation as to why so many diverse species of network structure…

Biological Physics · Physics 2007-05-23 Timothy C. Jarrett , Douglas J. Ashton , Mark Fricker , Neil F. Johnson