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In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

Networks of nonlinear units with time-delayed couplings can synchronize to a common chaotic trajectory. Although the delay time may be very large, the units can synchronize completely without time shift. For networks of coupled Bernoulli…

Chaotic Dynamics · Physics 2015-03-17 A. Englert , S. Heiligenthal , W. Kinzel , I. Kanter

In cellular networks, the densification of connected devices and base stations engender the ever-growing traffic intensity, and caching popular contents with smart management is a promising way to alleviate such consequences. Our research…

Information Theory · Computer Science 2021-03-25 Takehiro Ohashi

This paper considers a population process on a dynamically evolving graph, which can be alternatively interpreted as a queueing network. The queues are of infinite-server type, entailing that at each node all customers present are served in…

Probability · Mathematics 2020-01-01 Michel Mandjes , Nicos Starreveld , René Bekker

We study the tolerance to congestion failures in communication networks with scale-free topology. The traffic load carried by each damaged element in the network must be partly or totally redistributed among the remaining elements.…

Statistical Mechanics · Physics 2009-11-07 Y. Moreno , R. Pastor-Satorras , A. Vazquez , A. Vespignani

With the growing popularity of mobile smart devices, the existing networks are unable to meet the requirement of many complex scenarios; current network architectures and protocols do not work well with the network with high latency and…

Networking and Internet Architecture · Computer Science 2016-01-08 Huijuan Zhang , Kai Liu

Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute the symmetries of multilayer networks, and then study the…

Chaotic Dynamics · Physics 2020-07-29 F. Della Rossa , L. Pecora , K. Blaha , A. Shirin , I. Klickstein , F. Sorrentino

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

Emergence of various types of services has brought about explosive growth of traffic as well as diversified traffic characteristics in the cellular networks. To have a comprehensive understanding of the influences caused by various traffic…

Information Theory · Computer Science 2020-06-17 Le Yang , Fu-Chun Zheng , Shi Jin

Widespread use of computer networks and the use of varied technology for the interconnection of computers has made congestion a significant problem. In this report, we summarize our research on congestion avoidance. We compare the concept…

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

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

We study the synchronization of a coupled map lattice consisting of a one-dimensional chain of logistic maps. We consider global coupling with a time-delay that takes into account the finite velocity of propagation of interactions. We…

Chaotic Dynamics · Physics 2009-11-10 Arturo C. Marti , C. Masoller

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

We consider the problem of designing a packet-level congestion control and scheduling policy for datacenter networks. Current datacenter networks primarily inherit the principles that went into the design of Internet, where congestion…

Networking and Internet Architecture · Computer Science 2017-10-10 Devavrat Shah , Qiaomin Xie

We show that for large coupling delays the synchronizability of delay-coupled networks of identical units relates in a simple way to the spectral properties of the network topology. The master stability function used to determine stability…

Chaotic Dynamics · Physics 2011-12-21 V. Flunkert , S. Yanchuk , T. Dahms , E. Schöll

In a network of dynamical systems, concurrent synchronization is a regime where multiple groups of fully synchronized elements coexist. In the brain, concurrent synchronization may occur at several scales, with multiple ``rhythms''…

Neurons and Cognition · Quantitative Biology 2007-05-23 Quang-Cuong Pham , Jean-Jacques Slotine

We study various relay synchronization scenarios in a three-layer network, where the middle (relay) layer is a single node, i.e. a hub, The two remote layers consist of non-locally coupled rings of FitzHugh-Nagumo oscillators modelling…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Jakub Sawicki , Julia M. Koulen , Eckehard Schöll

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

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

Disordered Systems and Neural Networks · Physics 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

We investigate the emergence of synchronization in heterogeneous networks of chaotic maps. Our findings reveal that a small cluster of highly connected maps is responsible for triggering the spark of synchronization. After the spark, the…

Adaptation and Self-Organizing Systems · Physics 2024-02-01 Antonio Montalban , Rodrigo M. Corder
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