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The Hegselmann-Krause (HK) model is a wellknown opinion dynamics, attracting a significant amount of interest from a number of fields. However, the heterogeneous HK model is difficult to analyze - even the most basic property of convergence…

最优化与控制 · 数学 2019-12-24 Ge Chen , Wei Su , Songyuan Ding , Yiguang Hong

Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dymensional systems, synchronization can be achieved only if…

混沌动力学 · 物理学 2009-10-31 Lucia Baroni , Roberto Livi , Alessandro Torcini

In this paper we illustrate how non-stochastic (max,+) techniques can be used to describe partial synchronization in a Discrete Event Dynamical System. Our work uses results from the spectral theory of dioids and analyses (max,+) equations…

最优化与控制 · 数学 2007-05-23 Michael McGettrick

Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields of science and engineering, including physics, chemistry, biology, physiology, and mechanical and electrical engineering. Such dynamical elements are…

适应与自组织系统 · 物理学 2017-04-12 Hiroya Nakao

Federated Learning (FL) presents significant potential for collaborative optimization without data sharing. Since synthetic data is sent to the server, leveraging the popular concept of dataset distillation, this FL framework protects real…

机器学习 · 计算机科学 2025-10-29 Haozhi Shi , Weiying Xie , Hangyu Ye , Daixun Li , Jitao Ma , Yunsong Li , Leyuan Fang

We study coupled dynamics on networks using symbolic dynamics. The symbolic dynamics is defined by dividing the state space into a small number of regions (typically 2), and considering the relative frequencies of the transitions between…

混沌动力学 · 物理学 2009-11-11 Sarika Jalan , Juergen Jost , Fatihcan Atay

Recurrent networks of dynamic elements frequently exhibit emergent collective oscillations, which can display substantial regularity even when the individual elements are considerably noisy. How noise-induced dynamics at the local level…

适应与自组织系统 · 物理学 2017-01-04 Belen Sancristobal , Beatriz Rebollo , Pol Boada , Maria V. Sanchez-Vives , Jordi Garcia-Ojalvo

We consider a group synchronization problem with multiple frequencies which involves observing pairwise relative measurements of group elements on multiple frequency channels, corrupted by Gaussian noise. We study the computational phase…

统计理论 · 数学 2024-06-06 Anastasia Kireeva , Afonso S. Bandeira , Dmitriy Kunisky

Reflecting boundary conditions cause two one-dimensional random walks to synchronize if a common direction is chosen in each step. The mean synchronization time and its standard deviation are calculated analytically. Both quantities are…

无序系统与神经网络 · 物理学 2007-05-23 Andreas Ruttor , Georg Reents , Wolfgang Kinzel

One approach to maintaining phase coherence of qubits through dynamical decoupling consists of applying a sequence of Hahn spin-echo pulses. Recent studies have shown that, in certain noise environments, judicious choice of the delay times…

量子物理 · 物理学 2009-06-24 Hermann Uys , Michael J. Biercuk , John J. Bollinger

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

统计力学 · 物理学 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

Units of complex systems -- such as neurons in the brain or individuals in societies -- must communicate efficiently to function properly: e.g., allowing electrochemical signals to travel quickly among functionally connected neuronal areas…

物理与社会 · 物理学 2020-03-17 Arsham Ghavasieh , Manlio De Domenico

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

系统与控制 · 计算机科学 2019-05-20 Fernando Paganini , Enrique Mallada

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

光学 · 物理学 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

The formation of groups of interacting individuals improves performance and fitness in many decentralised systems, from micro-organisms to social insects, from robotic swarms to artificial intelligence algorithms. Often, group formation and…

软凝聚态物质 · 物理学 2023-11-14 Cristóvão S. Dias , Manish Trivedi , Giovanni Volpe , Nuno A. M. Araújo , Giorgio Volpe

A system of two enzymes mechanically coupled to each other in a viscous medium was recently studied, and conditions for obtaining synchronization and an enhanced average rate of the thermally-activated catalytic reactions of the enzymes…

统计力学 · 物理学 2023-09-29 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

系统与控制 · 电气工程与系统科学 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

最优化与控制 · 数学 2013-12-03 João F. C. Mota

Synchronization is shown to occur in spatially extended systems under the effect of additive spatio-temporal noise. In analogy to low dimensional systems, synchronized states are observable only if the maximum Lyapunov exponent $\Lambda$ is…

chao-dyn · 物理学 2016-11-23 L. Baroni , R. Livi , A. Torcini