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The present paper introduces a linear reformulation of the Kuramoto model describing a self-synchronizing phase transition in a system of globally coupled oscillators that in general have different characteristic frequencies. The…

Pattern Formation and Solitons · Physics 2008-03-18 David C. Roberts

We investigate the transition from incoherence to global collective motion in a three-dimensional swarming model of agents with helical trajectories, subject to noise and global coupling. Without noise this model was recently proposed as a…

Statistical Mechanics · Physics 2021-07-28 Chunming Zheng , Ralf Toenjes , Arkady Pikovsky

Interaction within an ensemble of coupled nonlinear oscillators induces a variety of collective behaviors. One of the most fascinating is a chimera state which manifests the coexistence of spatially distinct populations of coherent and…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Nikita Frolov , Vladimir Maksimenko , Soumen Majhi , Sarbendu Rakshit , Dibakar Ghosh , Alexander Hramov

The Kuramoto model provides a concrete mathematical realization of emergent synchrony in a population of phase-coupled oscillators. Since Kuramoto's publication, \textit{Oscillations, Waves, and Turbulence}, researchers have worked to…

Dynamical Systems · Mathematics 2022-03-14 Anthony Krueger , Sathyanarayanan Rengaswami , Rachel Leander

In the age of large language models (LLMs), autonomous agents have emerged as a powerful paradigm for achieving general intelligence. These agents dynamically leverage tools, memory, and reasoning capabilities to accomplish user-defined…

Artificial Intelligence · Computer Science 2025-08-05 Chaojia Yu , Zihan Cheng , Hanwen Cui , Yishuo Gao , Zexu Luo , Yijin Wang , Hangbin Zheng , Yong Zhao

An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibrium phase difference. In this paper, we investigate the…

Dynamical Systems · Mathematics 2014-05-13 Vishaal Krishnan , Arun D. Mahindrakar , Somashekhar S. Hiremath

Research concerning organization and coordination within multi-agent systems continues to draw from a variety of architectures and methodologies. The work presented in this paper combines techniques from game theory and multi-agent systems…

Artificial Intelligence · Computer Science 2007-05-23 Derek Messie , Jae C. Oh

Recently, the first-order synchronization transition has been studied in systems of coupled phase oscillators. In this paper, we propose a framework to investigate the synchronization in the frequency-weighted Kuramoto model with all-to-all…

Adaptation and Self-Organizing Systems · Physics 2015-11-18 Can Xu , Yuting Sun , Jian Gao , Tian Qiu , Zhigang Zheng , Shuguang Guan

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

Multiagent Systems · Computer Science 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

Recent advancements in the field of AI agents have impacted the way we work, enabling greater automation and collaboration between humans and agents. In the data visualization field, multi-agent systems can be useful for employing agents…

Artificial Intelligence · Computer Science 2025-09-03 Anton Wolter , Georgios Vidalakis , Michael Yu , Ankit Grover , Vaishali Dhanoa

This paper develops a stochastic programming framework for multi-agent systems where task decomposition, assignment, and scheduling problems are simultaneously optimized. The framework can be applied to heterogeneous mobile robot teams with…

Robotics · Computer Science 2022-11-15 Bo Fu , William Smith , Denise Rizzo , Matthew Castanier , Maani Ghaffari , Kira Barton

The spontaneous emergence of coherent behavior through synchronization plays a key role in neural function, and its anomalies often lie at the basis of pathologies. Here we employ a parsimonious (mesoscopic) approach to study analytically…

Neurons and Cognition · Quantitative Biology 2014-09-30 Pablo Villegas , Paolo Moretti , Miguel A. Muñoz

Disorder is often seen as detrimental to collective dynamics, yet recent work has shown that heterogeneity can enhance network synchronization. However, its constructive role in stabilizing nontrivial cooperative patterns remains largely…

We propose new mathematical optimization models for generating sparse dynamical graphs, or networks, that can achieve synchronization. The synchronization phenomenon is studied using the Kuramoto model, defined in terms of the adjacency…

Optimization and Control · Mathematics 2020-06-23 Regina S. Burachik , Alexander C. Kalloniatis , C. Yalçın Kaya

Artificial Intelligence (AI) agents have rapidly evolved from specialized, rule-based programs to versatile, learning-driven autonomous systems capable of perception, reasoning, and action in complex environments. The explosion of data,…

Designing high-performing networks requires optimizing for functionality while respecting physical, geometric, or budget constraints. Yet, mathematical and computational tools to design such systems remain limited, particularly for…

Adaptation and Self-Organizing Systems · Physics 2026-05-14 Guram Mikaberidze , Dane Taylor

This paper presents a hybrid approach to predict the evolution of technological maturity in R and D projects, using the oil and gas sector as an example. Integrating System Dynamics (SD) and Agent Based Modelling (ABM) allows the proposed…

Multiagent Systems · Computer Science 2025-10-14 R. W. S. Pessoa , M. H. Næss , J. C. Bijos , C. M. Rebello , D. Colombo , L. Schnitman , I. B. R. Nogueira

Artificial Intelligence (AI) is advancing at an unprecedented pace, with clear potential to enhance decision-making and productivity. Yet, the collaborative decision-making process between humans and AI remains underdeveloped, often falling…

Human-Computer Interaction · Computer Science 2025-04-10 Bowen Lou , Tian Lu , T. S. Raghu , Yingjie Zhang

Electromechanical systems manage physical processes through a network of inter-connected components. Today, programming the interactions required for coordinating these components is largely a manual process. This process is time-consuming…

Multiagent Systems · Computer Science 2024-06-27 Ganesh Ramanathan , Simon Mayer , Andrei Ciortea

The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in sets of coupled agents. Instead of considering interactions…

Adaptation and Self-Organizing Systems · Physics 2019-11-27 Robin Delabays