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Congestion is said to occur in the network when the resource demands exceed the capacity and packets are lost due to too much queuing in the network. During congestion, the network throughput may drop to zero and the path delay may become…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , K. Ramakrishnan

We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type…

Chaotic Dynamics · Physics 2009-11-11 R. E. Amritkar , Sarika Jalan

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

Synchronization in networks of coupled oscillators is known to be largely determined by the spectral and symmetry properties of the interaction network. Here we leverage this relation to study a class of networks for which the threshold…

Adaptation and Self-Organizing Systems · Physics 2017-12-21 Takashi Nishikawa , Adilson E. Motter

In an increasingly interconnected world, understanding congestion-related phenomena in transportation and their underlying mechanisms is crucial for improving efficiency. As the transportation system becomes denser, different modes of…

Physics and Society · Physics 2025-04-04 Sakurako Tanida , Thorsten Pöschel

The problem of time synchronization in dense wireless networks is considered. Well established synchronization techniques suffer from an inherent scalability problem in that synchronization errors grow with an increasing number of hops…

Information Theory · Computer Science 2007-07-16 An-swol Hu , Sergio D. Servetto

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability,…

Physics and Society · Physics 2015-06-24 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the…

Chaotic Dynamics · Physics 2011-03-29 I. Kanter , M. Zigzag , A. Englert , F. Geissler , W. Kinzel

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

Complex systems in the real world can be modeled as a network of connected components. The human brain, as a network of neurons among which the interactions cause perception, is a complex network. Synchronization is a dynamical phenomenon…

Biological Physics · Physics 2019-04-30 Arefeh Mazarei , Mohammad Amirian Matlob , Gholamhossein Riazi , Yousef Jamali

We consider a stochastic queueing system modelling the behaviour of a wireless network with nodes employing a discrete-time version of the standard decentralised medium access algorithm. The system is {\em unsaturated} -- each node receives…

Networking and Internet Architecture · Computer Science 2018-03-21 Seva Shneer , Alexander Stolyar

Queues allow network operators to control traffic: where queues build, they can enforce scheduling and shaping policies. In the Internet today, however, there is a mismatch between where queues build and where control is most effectively…

Networking and Internet Architecture · Computer Science 2021-04-28 Frank Cangialosi , Akshay Narayan , Prateesh Goyal , Radhika Mittal , Mohammad Alizadeh , Hari Balakrishnan

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

We study the synchronization properties of a generic networked dynamical system, and show that, under a suitable approximation, the transition to synchronization can be predicted with the only help of eigenvalues and eigenvectors of the…

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

Gaitonde and Tardos recently studied a model of queueing networks where queues compete for servers and re-send returned packets in future rounds. They quantify the amount of additional processing power that guarantees a decentralized…

Computer Science and Game Theory · Computer Science 2022-10-18 Hu Fu , Qun Hu , Jia'nan Lin

Due to the presence of buffers in the inner network nodes, each congestion event leads to buffer queueing and thus to an increasing end-to-end delay. In the case of delay sensitive applications, a large delay might not be acceptable and a…

Networking and Internet Architecture · Computer Science 2017-01-23 Stefano D'Aronco , Laura Toni , Sergio Mena , Xiaoqing Zhu , Pascal Frossard

Complex networks structures have been extensively used for describing complex natural and technological systems, like the Internet or social networks. More recently complex network theory has been applied to quantum systems, where complex…

Quantum Physics · Physics 2020-01-22 Francesca Sansavini , Valentina Parigi

We investigate cluster synchronization in coupled map networks in the presence of heterogeneous delays. We find that while parity of heterogeneous delays plays a crucial role in determining the phenomenon of cluster formation, the…

Chaotic Dynamics · Physics 2014-12-02 Sarika Jalan , Aradhana Singh