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In this paper the chaotic properties of the TCP congestion avoidance mechanism are investigated. The analysis focuses on the origin of the complex behavior appearing in deterministic TCP/IP networks. From the traffic modeling point of view…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Fekete , M. Marodi , G. Vattay

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

"A collection of interconnected networks" defines what the Internet is, but not what it is not. Events threaten Internet fragmentation: politics suggest countries or ISPs may secede or be de-peered, disputes between ISPs result in…

Networking and Internet Architecture · Computer Science 2023-10-30 Guillermo Baltra , Tarang Saluja , Yuri Pradkin , John Heidemann

In the near future, the Internet of Things will interconnect billions of devices, forming a vast network where users sporadically transmit short messages through multi-path wireless channels. These channels are characterized by the…

Information Theory · Computer Science 2025-05-05 Sajad Daei , Saeed Razavikia , Mikael Skoglund , Gabor Fodor , Carlo Fischione

One of the challenges in fighting cybercrime is to understand the dynamics of message propagation on botnets, networks of infected computers used to send viruses, unsolicited commercial emails (SPAM) or denial of service attacks. We map…

Disordered Systems and Neural Networks · Physics 2015-05-20 Tamara Mihaljev , Lucilla de Arcangelis , Hans J. Herrmann

We model the transmission of a message on the complete graph with n vertices and limited resources. The vertices of the graph represent servers that may broadcast the message at random. Each server has a random emission capital that…

Probability · Mathematics 2019-02-20 Francis Comets , François Delarue , René Schott

Percolation on networks is a common framework to model a wide range of processes, from cascading failures to epidemic spreading. Standard percolation assumes short-range interactions, implying that nodes can merge into clusters only if they…

Statistical Mechanics · Physics 2024-05-01 Lorenzo Cirigliano , Giulio Cimini , Romualdo Pastor-Satorras , Claudio Castellano

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

A new method of estimating some statistical characteristics of TCP flows in the Internet is developed in this paper. For this purpose, a new set of random variables (referred to as observables) is defined. When dealing with sampled traffic,…

Networking and Internet Architecture · Computer Science 2009-06-26 Yousra Chabchoub , Christine Fricker , Fabrice Guillemin , Philippe Robert

A novel algorithm for performing parallel, distributed computer simulations on the Internet using IP control messages is introduced. The algorithm employs carefully constructed ICMP packets which enable the required computations to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-07 G. A. Kohring

In many "smart city" applications, congestion arises in part due to the nature of signals received by individuals from a central authority. In the model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015], each agent uses one…

Optimization and Control · Mathematics 2018-02-20 Jakub Marecek , Robert Shorten , Jia Yuan Yu

Popular myths that cheaper memory, high-speed links and high-speed processors will solve the problem of congestion in computer networks are shown to be false. A simple definition for congestion based on supply and demand of resources is…

Networking and Internet Architecture · Computer Science 2016-11-15 R. Jain

A microscopic description of packet transport in the Internet by using a simple cellular automaton model is presented. A generalised exclusion process is introduced which allows to study travel times of the particles ('data packets') along…

We analyze access statistics of several popular webpages for a period of several years. The graphs of daily downloads are highly non-homogeneous with long periods of low activity interrupted by bursts of heavy traffic. These bursts are due…

Physics and Society · Physics 2009-11-13 M. V. Simkin , V. P. Roychowdhury

The most critical time for information to spread is in the aftermath of a serious emergency, crisis, or disaster. Individuals affected by such situations can now turn to an array of communication channels, from mobile phone calls and text…

Social and Information Networks · Computer Science 2017-03-23 James P. Bagrow

We model the transmission of information of a message on the Erd\"os-R\'eny random graph with parameters $(n,p)$ and limited resources. The vertices of the graph represent servers that may broadcast a message at random. Each server has a…

Probability · Mathematics 2016-01-25 Francis Comets , Christophe Gallesco , Serguei Popov , Marina Vachkovskaia

Milgram Condition proposed by Aoyama et al. plays an important role on the analysis of "six degrees of separation". We have shown that the relations between Milgram condition and the generalized clustering coefficient, which was introduced…

Physics and Society · Physics 2012-06-18 Norihito Toyota

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

In both natural and engineered systems, communication often occurs dynamically over networks ranging from highly structured grids to largely disordered graphs. To use, or comprehend the use of, networks as efficient communication media…

Physics and Society · Physics 2020-03-17 Giacomo Baggio , Virginia Rutten , Guillaume Hennequin , Sandro Zampieri

We introduce a continuum model describing data losses in a single node of a packet-switched network (like the Internet) which preserves the discrete nature of the data loss process. {\em By construction}, the model has critical behavior…

Networking and Internet Architecture · Computer Science 2009-11-13 A. S. Stepanenko , C. C. Constantinou , I. V. Yurkevich , I. V. Lerner