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We give a tutorial for the study of dynamical systems on networks. We focus especially on "simple" situations that are tractable analytically, because they can be very insightful and provide useful springboards for the study of more…

Adaptation and Self-Organizing Systems · Physics 2015-05-05 Mason A. Porter , James P. Gleeson

Recently, there has been an explosion of work on network routing in hostile environments. Hostile environments tend to be dynamic, and the motivation for this work stems from the scenario of IED placements by insurgents in a logistical…

Applications · Statistics 2011-07-26 Nozer D. Singpurwalla

The emergence of dynamic rerouting in multi-modal transportation networks has emerged as a crucial area in operations research, revolutionizing routine optimization. The review study analyzes multiple research publications on algorithms and…

Physics and Society · Physics 2023-12-27 Suyash Pratap

We consider neural networks from the point of view of dynamical systems theory. In this spirit we review recent results dealing with the following questions, adressed in the context of specific models. 1. Characterizing the collective…

Adaptation and Self-Organizing Systems · Physics 2010-11-09 B. Cessac

Conditions for the detectability of topology variations in dynamical networks are developed in a recent article in the IEEE Transactions on Control of Network Systems [1]. Here, an example is presented which illustrates an error in the…

Systems and Control · Computer Science 2018-10-08 Sandip Roy , Mengran Xue

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

While routing in wireless networks has been studied extensively, existing protocols are typically designed for a specific set of network conditions and so cannot accommodate any drastic changes in those conditions. For instance, protocols…

Networking and Internet Architecture · Computer Science 2021-01-01 Victoria Manfredi , Alicia Wolfe , Bing Wang , Xiaolan Zhang

Dynamic routing networks, aimed at finding the best routing paths in the networks, have achieved significant improvements to neural networks in terms of accuracy and efficiency. In this paper, we see dynamic routing networks in a fresh…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 Huanyu Wang , Zequn Qin , Songyuan Li , Xi Li

This paper discusses the letter entitled "Network analysis of the state space of discrete dynamical systems" by A. Shreim et al. [Physical Review Letters, 98, 198701 (2007)]. We found that some theoretical analyses are wrong and the…

Data Analysis, Statistics and Probability · Physics 2017-04-04 Cheng Xu , Chengqing Li , Jinhu Lü , Shi Shu

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

The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta

The topologies of predictable dynamic networks are continuously dynamic in terms of node position, network connectivity and link metric. However, their dynamics are almost predictable compared with the ad-hoc network. The existing routing…

Networking and Internet Architecture · Computer Science 2018-08-20 Zengyin Yang , Qian Wu , Zhize Li , Hewu Li , Jianping Wu

This article explores the design and experimentation of a neural network architecture capable of dynamically adjusting its internal structure based on the input data. The proposed model introduces a routing mechanism that allows each layer…

Machine Learning · Computer Science 2025-11-18 Dmytro Hospodarchuk

Dynamic neural network is an emerging research topic in deep learning. Compared to static models which have fixed computational graphs and parameters at the inference stage, dynamic networks can adapt their structures or parameters to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Yizeng Han , Gao Huang , Shiji Song , Le Yang , Honghui Wang , Yulin Wang

Management of communication by on-line routing in new FPGAs with a large amount of logic resources and partial reconfigurability is a new challenging problem. A Network-on-Chip (NoC) typically uses packet routing mechanism, which has often…

Hardware Architecture · Computer Science 2016-08-31 Ali Ahmadinia , Christophe Bobda , Ji Ding , Mateusz Majer , Juergen Teich , Sandor P. Fekete , Jan van der Veen

This chapter provides an overview of the different techniques and methods that exist for the analysis and visualization of dynamic networks. Basic definitions and formal notations are discussed and important references are cited. A major…

Social and Information Networks · Computer Science 2014-09-18 Faraz Zaidi , Chris Muelder , Arnaud Sallaberry

One of the key advantages of Software-Defined Networks (SDN) is the opportunity to integrate traffic engineering modules able to optimize network configuration according to traffic. Ideally, network should be dynamically reconfigured as…

Networking and Internet Architecture · Computer Science 2020-11-26 Davide Sanvito , Ilario Filippini , Antonio Capone , Stefano Paris , Jeremie Leguay

We present a model for the description of the evolution of contacts among individuals in a network. At each time step each individual is associated with a domain or neighborhood of fully connected agents.The dynamics of this changing…

Cellular Automata and Lattice Gases · Physics 2007-05-23 M. N. Kuperman , M. Ballard , M. F. Laguna

This article examines the evolution of routing protocols for intermittently connected ad hoc networks and discusses the trend toward social-based routing protocols. A survey of current routing solutions is presented, where routing protocols…

Networking and Internet Architecture · Computer Science 2015-03-19 Mary R. Schurgot , Cristina Comaniciu , Katia Jaffrès-Runser
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