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The biharmonic distance is a fundamental metric on graphs that measures the dissimilarity between two nodes, capturing both local and global structures. It has found applications across various fields, including network centrality, graph…

社会与信息网络 · 计算机科学 2026-01-16 Dehong Zheng , Zhongzhi Zhang

We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two…

混沌动力学 · 物理学 2009-02-03 Marcelo Ponce , C. Masoller , Arturo C. Marti

We study under which conditions systems of coupled oscillators on complex networks display remote synchronization, a situation where pairs of vertices, not necessarily physically linked, but with the same network symmetry, are synchronized.

适应与自组织系统 · 物理学 2016-12-05 Rafael S. Pinto

Synchronization is crucial for the correct functionality of many natural and man-made complex systems. In this work we characterize the formation of synchronization patterns in networks of Kuramoto oscillators. Specifically, we reveal…

最优化与控制 · 数学 2017-09-20 Lorenzo Tiberi , Chiara Favaretto , Mario Innocenti , Danielle S. Bassett , Fabio Pasqualetti

Starting with an initial random network of oscillators with a heterogeneous frequency distribution, its autonomous synchronization ability can be largely improved by appropriately rewiring the links between the elements. Ensembles of…

适应与自组织系统 · 物理学 2015-05-18 Tatsuo Yanagita , Alexander S. Mikhailov

A novel viewpoint, i.e., adaptive synchronization, is proposed to explore collective rhythm observed in many complex, self-organizing systems. We show that a simple adaptive coupling is able to tip arrays of oscillators towards collective…

适应与自组织系统 · 物理学 2007-05-23 Debin Huang

Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previous studies on synchronization within multilayer networks…

适应与自组织系统 · 物理学 2024-07-16 Palash Kumar Pal , Md Sayeed Anwar , Matjaz Perc , Dibakar Ghosh

Synchronization processes are ubiquitous despite the many connectivity patterns that complex systems can show. Usually, the emergence of synchrony is a macroscopic observable, however, the microscopic details of the system, as e.g. the…

物理与社会 · 物理学 2018-06-08 Lluis Arola-Fernandez , Albert Diaz-Guilera , Alex Arenas

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we…

统计力学 · 物理学 2007-05-23 Franco Bagnoli , Lucia Baroni , Paolo Palmerini

The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

机器学习 · 计算机科学 2019-03-05 Frank Wang , Danjue Li

Synchronization of identical harmonic oscillators interconnected via position, velocity, and acceleration couplings is studied. How to construct a complex Laplacian matrix representing the overall coupling is presented. It is shown that the…

最优化与控制 · 数学 2020-07-16 S. Emre Tuna

Recently, the visibility graph has been introduced as a novel view for analyzing time series, which maps it to a complex network. In this paper, we introduce new algorithm of visibility, "cross-visibility", which reveals the conjugation of…

数据分析、统计与概率 · 物理学 2015-06-12 Saeed Mehraban , Amirhossein Shirazi , Maryam Zamani , Gholamreza Jafari

We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of…

混沌动力学 · 物理学 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

In this paper we propose a decentralized sensor network scheme capable to reach a globally optimum maximum likelihood (ML) estimate through self-synchronization of nonlinearly coupled dynamical systems. Each node of the network is composed…

分布式、并行与集群计算 · 计算机科学 2009-11-11 Sergio Barbarossa , Gesualdo Scutari

The network alignment problem asks for the best correspondence between two given graphs, so that the largest possible number of edges are matched. This problem appears in many scientific problems (like the study of protein-protein…

统计计算 · 统计学 2017-07-18 Efe Onaran , Soledad Villar

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…

无序系统与神经网络 · 物理学 2010-06-15 Takashi Nishikawa , Adilson E. Motter

We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network…

无序系统与神经网络 · 物理学 2007-06-22 Fatihcan M. Atay , Turker Biyikoglu , Juergen Jost

The go-to strategy to apply deep networks in settings where uncertainty informs decisions--ensembling multiple training runs with random initializations--is ill-suited for the extremely large-scale models and practical fine-tuning workflows…

机器学习 · 计算机科学 2025-11-27 Tim G. Zhou , Evan Shelhamer , Geoff Pleiss

We study the emergence of synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and a time delay is…

统计力学 · 物理学 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

Autonomous bicycles offer a promising agile solution for urban mobility and last-mile logistics. However, conventional control strategies often struggle with underactuated nonlinear dynamics, suffering from sensitivity to model mismatches…

机器人学 · 计算机科学 2026-05-05 Gelu Liu , Teng Wang , Zhijie Wu , Junliang Wu , Songyuan Li , Xiangwei Zhu