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Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

In this paper, we equip the conventional discrete-time queueing network with a Markovian input process, that, in addition to the usual short-term stochastics, governs the mid- to long-term behavior of the links between the network nodes.…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Richard Schoeffauer , Gerhard Wunder

This work investigates the effect of finite buffer sizes on the throughput capacity and packet delay of line networks with packet erasure links that have perfect feedback. These performance measures are shown to be linked to the stationary…

Information Theory · Computer Science 2016-11-15 Badri N. Vellambi , Nima Torabkhani , Faramarz Fekri

Glauber dynamics is a powerful tool to generate randomized, approximate solutions to combinatorially difficult problems. It has been used to analyze and design distributed CSMA (Carrier Sense Multiple Access) scheduling algorithms for…

Networking and Internet Architecture · Computer Science 2017-07-11 Libin Jiang , Mathieu Leconte , Jian Ni , R. Srikant , Jean Walrand

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

Physics and Society · Physics 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

In this paper, we consider a bidirectional relay network with half-duplex nodes and block fading where the nodes transmit with a fixed transmission rate. Thereby, user 1 and user 2 exchange information only via a relay node, i.e., a direct…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Nikola Zlatanov , Robert Schober

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

Disordered Systems and Neural Networks · Physics 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

FAST-TCP achieves better performance than traditional TCP-Reno schemes, but unfortunately it is inherently unfair to older connections due to wrong estimations of the round-trip propagation delay. This paper presents a model for this…

Networking and Internet Architecture · Computer Science 2015-09-02 Miguel Rodríguez-Pérez , Sergio Herrería-Alonso , Manuel Fernández-Veiga , Cándido López-García

Reaction-diffusion systems with time-delay defined on complex networks have been studied in the framework of the emergence of Turing instabilities. The use of the Lambert W-function allowed us get explicit analytic conditions for the onset…

Statistical Mechanics · Physics 2016-08-03 Julien Petit , Malbor Asllani , Duccio Fanelli , Ben Lauwens , Timoteo Carletti

We study chaotic systems with multiple time delays that range over several orders of magnitude. We show that the spectrum of Lyapunov exponents (LE) in such systems possesses a hierarchical structure, with different parts scaling with the…

Chaotic Dynamics · Physics 2013-03-01 Otti D'Huys , Steffen Zeeb , Thomas Jüngling , Serhiy Yanchuk , Wolfgang Kinzel

This paper presents a set of new results directly exploring the special characteristics of the wireless channel capacity process. An appealing finding is that, for typical fading channels, their instantaneous capacity and cumulative…

Information Theory · Computer Science 2017-05-11 Fengyou Sun , Yuming Jiang

In this paper, we analyze the coding delay and the average coding delay of random linear network codes (a.k.a. dense codes) and chunked codes (CC), which are an attractive alternative to dense codes due to their lower complexity, over line…

Information Theory · Computer Science 2012-07-26 Anoosheh Heidarzadeh , Amir H. Banihashemi

We report here that channel power gain and Root-Mean-Square Delay Spread (RMS-DS) in Low/Medium Voltage power line channels are negatively correlated lognormal random variables. Further analysis of other wireline channels allows us to…

Information Theory · Computer Science 2015-03-17 Stefano Galli

Cross-layer scheduling is a promising way to improve Quality of Service (QoS) given a power constraint. In this paper, we investigate the system with random data arrival and adaptive transmission. Probabilistic scheduling strategies aware…

Information Theory · Computer Science 2016-11-18 Xiang Chen , Wei Chen

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a…

Networking and Internet Architecture · Computer Science 2009-06-29 B. Rezaie , MR. Jahed Motlagh , M. Analoui , S. Khorsandi

We investigate the effects of transmission delays on the formation of temporally ordered states in networks of non-identical R\"ossler oscillators, having SWN topology. We show that incorporation of two different types of delay, length…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rhonda Dzakpasu , Michał Żochowski

Consider the problem of a multiple access channel in a time dependent environment with a large number of users. In such a system, mostly due to practical constraints (e.g., decoding complexity), not all users can be scheduled together, and…

Information Theory · Computer Science 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

Dynamical Systems · Mathematics 2021-12-14 Philip Doldo , Jamol Pender

We consider a broad class of queueing models with random state-dependent vacation periods, which arise in the analysis of queue-based back-off algorithms in wireless random-access networks. In contrast to conventional models, the vacation…

Probability · Mathematics 2013-02-14 Niek Bouman , Sem C. Borst , Onno J. Boxma , Johan S. H. van Leeuwaarden

We establish mean-field limits for large-scale random-access networks with buffer dynamics and arbitrary interference graphs. While saturated-buffer scenarios have been widely investigated and yield useful throughput estimates for…

Probability · Mathematics 2019-04-25 Fabio Cecchi , Sem C. Borst , Johan S. H. van Leeuwaarden , Philip A. Whiting