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In this paper, we study synchronization in the delayed discrete-time complex networks. Several criterions of synchronization stability for such networks are established. And illustrative examples are presented. The numerical simulations…

Chaotic Dynamics · Physics 2007-05-23 Weigang Sun , Changpin Li , Zhengping Fan

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one…

Chaotic Dynamics · Physics 2015-05-30 Francesco Sorrentino , Pietro De Lellis

In decentralized optimization, nodes of a communication network each possess a local objective function, and communicate using gossip-based methods in order to minimize the average of these per-node functions. While synchronous algorithms…

Optimization and Control · Mathematics 2022-09-02 Mathieu Even , Hadrien Hendrikx , Laurent Massoulie

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

In fully dynamic graphs, we know how to maintain a 2-approximation of maximum matching extremely fast, that is, in polylogarithmic update time or better. In a sharp contrast and despite extensive studies, all known algorithms that maintain…

Data Structures and Algorithms · Computer Science 2019-11-06 Soheil Behnezhad , Jakub Łącki , Vahab Mirrokni

Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present…

Quantitative Methods · Quantitative Biology 2015-05-13 Radhakrishnan Nagarajan

The scaling of transient times to zero-lag synchronization in networks composed of excitable units is shown to be governed by three features of the graph representing the network: the longest path between pairs of neurons (diameter), the…

Neurons and Cognition · Quantitative Biology 2015-06-11 H. Brama , Y. Peleg , W. Kinzel , I. Kanter

This paper addresses the problem of identifying a linear time-varying (LTV) system characterized by a (possibly infinite) discrete set of delay-Doppler shifts without a lattice (or other geometry-discretizing) constraint on the support set.…

Information Theory · Computer Science 2021-01-26 V. Vlačić , C. Aubel , H. Bölcskei

Symbol synchronization refers to the estimation of the start of a symbol interval and is needed for reliable detection. In this paper, we develop several symbol synchronization schemes for molecular communication (MC) systems where we…

Information Theory · Computer Science 2017-09-05 Vahid Jamali , Arman Ahmadzadeh , Robert Schober

In this manuscript, we study the problem of robust synchronization in networks of diffusively time-delayed coupled nonlinear systems. In particular, we prove that, under some mild conditions on the input-output dynamics of the systems and…

Systems and Control · Computer Science 2017-11-01 Carlos Murguia , Henk Nijmeijer , Justin Ruths

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

A common problem to signal processing are biases introduced by correlated noise. When quantifying time delays between two signals, mixed noise introduces a bias towards zero delay in conventional delay estimates based on the cross- or…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Tin Jurhar , Franziska Pellegrini , Ana I. Nuñes del Toro , Tilman Stephani , Guido Nolte , Stefan Haufe

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

The chapter from the book introduces the delay theory, whose purpose is the modeling of the asynchronous circuits from digital electrical engineering with ordinary and differential pseudo-boolean equations.

General Literature · Computer Science 2007-05-23 Serban E. Vlad

This paper addresses the problem of identifying a linear time-varying (LTV) system characterized by a (possibly infinite) discrete set of delays and Doppler shifts. We prove that stable identifiability is possible if the upper uniform…

Information Theory · Computer Science 2015-04-21 Céline Aubel , Helmut Bölcskei

We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are…

Chaotic Dynamics · Physics 2016-09-08 Won-Ho Kye , Muhan Choi , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

Recent years have witnessed the surge of asynchronous parallel (async-parallel) iterative algorithms due to problems involving very large-scale data and a large number of decision variables. Because of asynchrony, the iterates are computed…

Optimization and Control · Mathematics 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin

We consider a network of delay dynamical systems connected in a ring via unidirectional positive feedback with constant delay in coupling. For the specific case of Mackey-Glass systems on the ring topology, we capture the phenomena of…

Chaotic Dynamics · Physics 2015-06-18 Chiranjit Mitra , G. Ambika , Soumitro Banerjee

We present a new approach for solving (minimum disagreement) correlation clustering that results in sublinear algorithms with highly efficient time and space complexity for this problem. In particular, we obtain the following algorithms for…

Data Structures and Algorithms · Computer Science 2021-09-30 Sepehr Assadi , Chen Wang