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Motivated by novel results in the theory of network synchronization, we analyze the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. We determine {\it analytically} the…

元胞自动机与格子气 · 物理学 2015-05-19 Shahar Hod

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

动力系统 · 数学 2026-04-20 Hui Wu

Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a…

适应与自组织系统 · 物理学 2013-11-28 V. H. P. Louzada , N. A. M. Araújo , J. S. Andrade , H. J. Herrmann

We consider state-feedback predictor-based control of networked control systems with large time-varying communication delays. We show that even a small controller-to-actuators delay uncertainty may lead to a non-small residual error in a…

最优化与控制 · 数学 2016-11-07 A. Selivanov , E. Fridman

Existence of a new type of oscillating synchronization that oscillates between three different types of synchronizations (anticipatory, complete and lag synchronizations) is identified in unidirectionally coupled nonlinear time-delay…

混沌动力学 · 物理学 2007-05-23 D. V. Senthilkumar , M. Lakshmanan

We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control…

斑图形成与孤子 · 物理学 2009-11-07 Seong-Ok Jeong , Tae-Wook Ko , Hie-Tae Moon

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

适应与自组织系统 · 物理学 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Synchronization is ubiquitous in nature, which is mathematically described by coupled oscillators. Synchronization strongly depends on the interaction network, and the network plays a crucial role in controlling the dynamics. To understand…

适应与自组织系统 · 物理学 2025-08-19 Akari Matsuki , Hiroshi Kori , Ryota Kobayashi

In overlay networks, both local and long-distance links appear as a single hop to a routing protocol. Traditional routing metrics (based on hop count or packet loss) fail to take the differences between such links into account. In this…

网络与互联网体系结构 · 计算机科学 2014-03-17 Baptiste Jonglez , Matthieu Boutier , Juliusz Chroboczek

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

物理与社会 · 物理学 2021-03-26 Petter Holme , Jari Saramäki

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. Using the known exact threshold value from the theory of differential equations with delays, we provide the…

统计力学 · 物理学 2015-03-17 D. Hunt , G. Korniss , B. K. Szymanski

In this paper, a kind of neural network with time-varying delays is proposed to solve the problems of quadratic programming. The delay term of the neural network changes with time t. The number of neurons in the neural network is n + h, so…

最优化与控制 · 数学 2021-07-15 Ling Zhang , Xiaoqi Sun

The recent advancements in cloud services, Internet of Things (IoT) and Cellular networks have made cloud computing an attractive option for intelligent traffic signal control (ITSC). Such a method significantly reduces the cost of cables,…

信号处理 · 电气工程与系统科学 2020-03-09 Rusheng Zhang , Xinze Zhou , Ozan K. Tonguz

To support reliable and low-latency communication, Time-Sensitive Networking introduced protocols and interfaces for resource allocation in Ethernet. However, the implementation of these allocation algorithms has not yet been covered by the…

网络与互联网体系结构 · 计算机科学 2025-08-27 Lisa Maile , Kai-Steffen Hielscher , Reinhard German

A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show…

适应与自组织系统 · 物理学 2021-10-22 Yuanzhao Zhang , Jorge L. Ocampo-Espindola , István Z. Kiss , Adilson E. Motter

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

适应与自组织系统 · 物理学 2022-05-11 Sergei A. Plotnikov

A novel way of using neural networks to learn the dynamics of time delay systems from sequential data is proposed. A neural network with trainable delays is used to approximate the right hand side of a delay differential equation. We relate…

机器学习 · 计算机科学 2022-08-29 Xunbi A. Ji , Gabor Orosz

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

光学 · 物理学 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

This paper studies the performance of a feedback control loop closed via an error-free digital communication channel with transmission delay. The system comprises a discrete-time noisy linear time-invariant (LTI) plant whose single…

系统与控制 · 计算机科学 2018-09-05 M. Barforooshan , M. S. Derpich , P. A. Stavrou , J. Østergaard

Time-delay systems are, in many ways, a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data. However, they are complicated because past states must be…

混沌动力学 · 物理学 2007-10-16 D. J. Albers , Fatihcan M. Atay