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The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

Neurons and Cognition · Quantitative Biology 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

For most technical networks, the interplay of dynamics, traffic and topology is assumed crucial to their evolution. In this paper, we propose a traffic-driven evolution model of weighted technological networks. By introducing a general…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Gang Yan , Qing Ou , Bing-Hong Wang

This work examines the problem of topology inference over discrete-time nonlinear stochastic networked dynamical systems. The goal is to recover the underlying digraph linking the network agents, from observations of their state-evolution.…

Multiagent Systems · Computer Science 2019-06-24 Augusto Santos , Vincenzo Matta , Ali H. Sayed

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

The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

Neurons and Cognition · Quantitative Biology 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Inspired by the structure of technological networks, we discuss network evolution mechanisms which give rise to topological properties found in real spatial networks. Thus, the peculiar structure of transport and distribution networks is…

Physics and Society · Physics 2009-11-13 R. Xulvi-Brunet , I. M. Sokolov

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial for understanding the function, performance and evolution of complex systems. In the last few…

Physics and Society · Physics 2009-11-13 Jing Zhao , Lin Tao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

We study synthetic temporal networks whose evolution is determined by stochastically evolving node variables - synthetic analogues of, e.g., temporal proximity networks of mobile agents. We quantify the long-timescale correlations of these…

Physics and Society · Physics 2024-08-30 Harrison Hartle , Naoki Masuda

In this study, we performed comprehensive morphological investigations of the spontaneous formations of effective network structures among elements in coupled logistic maps, specifically with a delayed connection change. Our proposed model…

Adaptation and Self-Organizing Systems · Physics 2020-12-02 Amika Ohara , Masashi Fujii , Akinori Awazu

Topology learning of networked dynamical systems is an important problem with implications to optimal control, decision-making over networks, cybersecurity and safety. The majority of prior work in consistent topology estimation relies on…

Optimization and Control · Mathematics 2024-10-15 Harish Doddi , Deepjyoti Deka , Murti Salapaka

We study a competition dynamics, based on the minority game, endowed with various substrate network structures. We observe the effects of the network topologies by investigating the volatility of the system and the structure of follower…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sang Hoon Lee , Hawoong Jeong

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Reka Albert , Albert-Laszlo Barabasi

Understanding the mutual interdependence between the behavior of dynamical processes on networks and the underlying topologies promises new insight for a large class of empirical networks. We present a generic approach to investigate this…

Disordered Systems and Neural Networks · Physics 2012-08-08 Steffen Karalus , Markus Porto

Many works have studied the Internet topology, but few have investigated the question of how it evolves over time. This paper focuses on the Internet routing IP-level topology and proposes a first step towards realistic modeling of its…

Networking and Internet Architecture · Computer Science 2015-03-19 Clémence Magnien , Amélie Medem , Fabien Tarissan

Previous efforts in complex networks research focused mainly on the topological features of such networks, but now also encompass the dynamics. In this Letter we discuss the relationship between structure and dynamics, with an emphasis on…

Many real-world social networks constantly change their global properties over time, such as the number of edges, size and density. While temporal and local properties of social networks have been extensively studied, the origin of their…

Physics and Society · Physics 2020-11-18 Teruyoshi Kobayashi , Mathieu Génois