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The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

Optimization and Control · Mathematics 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the…

Chaotic Dynamics · Physics 2010-11-25 Rodrigo Frehse Pereira , Sandro Ely de Souza Pinto , Sergio Roberto Lopes

Reduction of end-to-end network delays is an optimization task with applications in multiple domains. Low delays enable improved information flow in social networks, quick spread of ideas in collaboration networks, low travel times for…

Databases · Computer Science 2016-09-28 Sourav Medya , Petko Bogdanov , Ambuj Singh

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show…

Chaotic Dynamics · Physics 2009-08-24 Adam B. Cohen , Bhargava Ravoori , Thomas E. Murphy , Rajarshi Roy

The discrepancy between the upper bound on throughput in wireless networks and the throughput scaling in random networks which is also known as the connectivity-throughput trade-off is analyzed. In a random network with $\lambda$ nodes per…

Information Theory · Computer Science 2010-08-23 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

Synchronization, in which individual dynamical units keep in pace with each other in a decentralized fashion, depends both on the dynamical units and on the properties of the interaction network. Yet, the role played by the network has…

Disordered Systems and Neural Networks · Physics 2010-06-15 Takashi Nishikawa , Adilson E. Motter

For the class of noisy time-delay linear consensus networks, we obtain explicit formulas for risk of large fluctuations of a scalar observable as a function of Laplacian spectrum and its eigenvectors. It is shown that there is an intrinsic…

Systems and Control · Computer Science 2018-09-25 Christoforos Somarakis , Yaser Ghaedsharaf , Nader Motee

We analyze zero-lag and cluster synchrony of delay-coupled non-smooth dynamical systems by extending the master stability approach, and apply this to networks of adaptive threshold-model neurons. For a homogeneous population of excitatory…

Adaptation and Self-Organizing Systems · Physics 2013-11-06 Josef Ladenbauer , Judith Lehnert , Hadi Rankoohi , Thomas Dahms , Eckehard Schöll , Klaus Obermayer

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in…

Subcellular Processes · Quantitative Biology 2015-04-03 G. Reenaroy Devi , R. K. Brojen Singh , Ram Ramaswamy

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

Dynamical Systems · Mathematics 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

We explore the achievable delay performance in wireless random-access networks. While relatively simple and inherently distributed in nature, suitably designed queue-based random-access schemes provide the striking capability to match the…

Networking and Internet Architecture · Computer Science 2013-05-17 Niek Bouman , Sem Borst , Johan van Leeuwaarden

We investigate optimal resource allocation for delay-limited cooperative communication in time varying wireless networks. Motivated by real-time applications that have stringent delay constraints, we develop a dynamic cooperation strategy…

Information Theory · Computer Science 2009-10-08 Rahul Urgaonkar , Michael J. Neely

Physical-layer Network Coding (PNC) makes use of the additive nature of the electromagnetic (EM) waves to apply network coding arithmetic at the physical layer. With PNC,the destructive effect of interference in wireless networks is…

Networking and Internet Architecture · Computer Science 2010-01-05 Shengli Zhang , Soung-Chang Liew , Hui Wang

This work is about the synchronization of nonlinear coupled dynamical systems driven by $\alpha$-stable noise. Firstly, we provide a novel technique to construct the relationship between synchronized system and slow-fast system. Secondly,…

Probability · Mathematics 2019-10-28 Yanjie Zhang , Li Lin , Jinqiao Duan , Hongbo Fu

Synaptic, dendritic and single-cell kinetics generate significant time delays that shape the dynamics of large networks of spiking neurons. Previous work has shown that such effective delays can be taken into account with a rate model…

Neurons and Cognition · Quantitative Biology 2014-01-31 Alex Roxin , Ernest Montbrio

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

This work studies the problem of distributed optimization in heterogeneous linear multi-agent systems. Instead of relying on a perfect communication network as in many existing distributed optimization approaches, we considered two…

Optimization and Control · Mathematics 2022-11-15 Farshad Rahimi

Networks are often interconnected, with one system wielding greater influence over another. However, the effects of such asymmetry on self-organized phenomena (e.g., consensus and synchronization) are not well understood. Here, we study…

Physics and Society · Physics 2023-10-17 Zhao Song , Dane Taylor

We consider a pair of collectively oscillating networks of dynamical elements and optimize their internetwork coupling for efficient mutual synchronization based on the phase reduction theory developed in Ref. [H. Nakao, S. Yasui, M. Ota,…

Adaptation and Self-Organizing Systems · Physics 2021-06-11 Hiroya Nakao , Katsunori Yamaguchi , Shingo Katayama , Tatsuo Yanagita
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