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Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among the units of the network. The asynchronous state can…

神经元与认知 · 定量生物学 2023-05-03 Jonas Ranft , Benjamin Lindner

We compare asynchronous vs. synchronous update of discrete dynamical networks and find that a simple time delay in the nodes may induce a reproducible deterministic dynamics even in the case of asynchronous update in random order. In…

分子网络 · 定量生物学 2007-05-23 Konstantin Klemm , Stefan Bornholdt

Complex networks are a successful framework to describe collective behaviour in many applications, but a notable gap remains in the current literature, that of proving asymptotic convergence in networks of piecewise-smooth systems. Indeed,…

系统与控制 · 计算机科学 2020-12-03 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the extent to which the largest connected component of a network…

How a complex network is connected crucially impacts its dynamics and function. Percolation, the transition to extensive connectedness upon gradual addition of links, was long believed to be continuous but recent numerical evidence on…

无序系统与神经网络 · 物理学 2011-03-07 Jan Nagler , Anna Levina , Marc Timme

We study self-organized (s-) and driven (d-) synchronization in coupled map networks for some simple networks, namely two and three node networks and their natural generalization to globally coupled and complete bipartite networks. We use…

混沌动力学 · 物理学 2007-05-23 Sarika Jalan , R. E. Amritkar , Chin-Kun Hu

Local communities by concentration of nodes connected with short links are widely observed in spatial networks. However, how such structure affects robustness of connectivity against malicious attacks remains unclear. This study…

社会与信息网络 · 计算机科学 2025-07-04 Yingzhou Mou , Yukio Hayashi

Complex networked systems can be modeled and represented as graphs, with nodes representing the agents and the links describing the dynamic coupling between them. The fundamental objective of network identification for dynamic systems is to…

系统与控制 · 电气工程与系统科学 2020-06-09 Venkat Ram Subramanian , Andrew Lamperski , Murti V. Salapaka

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. In the latter case, the ongoing transition to distributed…

适应与自组织系统 · 物理学 2018-11-29 Frank Hellmann , Paul Schultz , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Jürgen Kurths , Yuri Maistrenko

Effects of hidden nodes on inference quality of observed network structure are explored based on a disordered Ising model with hidden nodes. We first study analytically small systems consisting of a few nodes, and find that the magnitude of…

统计力学 · 物理学 2015-08-13 Haiping Huang

By a model of coupled phase oscillators, we show analytically how synchronization in {\em non-identical} complex networks can be enhanced by introducing a proper gradient into the couplings. It is found that, by pointing the gradient from…

混沌动力学 · 物理学 2011-11-10 Xingang Wang , Shuguang Guan , Ying-Cheng Lai , Choy Heng Lai

A central issue in the study of large complex network systems, such as power grids, financial networks, and ecological systems, is to understand their response to dynamical perturbations. Recent studies recognize that many real networks…

适应与自组织系统 · 物理学 2022-07-26 Chao Duan , Takashi Nishikawa , Deniz Eroglu , Adilson E. Motter

A wide variety of natural and human-made systems consist of a large set of dynamical units coupled into a complex structure. Breakdown of such systems can have a dramatic impact, as in the case of neurons in the brain or lines in an…

系统与控制 · 电气工程与系统科学 2021-04-08 Robin Delabays , Laurent Pagnier , Melvyn Tyloo

We study impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplexing induces the global synchronization in sparse networks.…

混沌动力学 · 物理学 2016-05-03 Aradhana Singh , Saptarshi Ghosh , Sarika Jalan , Jürgen Kurths

We investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these net works. In general, the impact of additional random links on the performance of…

adap-org · 物理学 2023-12-18 Henryk Fuks , Anna T. Lawniczak

In this paper, we utilize event-triggered coupling configuration to realize synchronization of linearly coupled dynamical systems. Here, the diffusion couplings are set up from the latest observations of the nodes of its neighborhood and…

适应与自组织系统 · 物理学 2015-02-13 Wenlian Lu , Yujuan Han , Tianping Chen

Directed and heterogeneous hypergraphs capture directional higher-order interactions with intrinsically asymmetric functional dependencies among nodes. As a result, damage to certain nodes can suppress entire hyperedges, whereas failure of…

无序系统与神经网络 · 物理学 2026-01-29 Yunxue Sun , Xueming Liu , Ginestra Bianconi

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

物理与社会 · 物理学 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

混沌动力学 · 物理学 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz

This paper considers learning the hidden causal network of a linear networked dynamical system (NDS) from the time series data at some of its nodes -- partial observability. The dynamics of the NDS are driven by colored noise that generates…

机器学习 · 计算机科学 2024-02-13 Augusto Santos , Diogo Rente , Rui Seabra , José M. F. Moura
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