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A fundamental understanding of synchronized behavior in multi-agent systems can be acquired by studying analytically tractable Kuramoto models. However, such models typically diverge from many real systems whose dynamics evolve under…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Keith A. Wiley , Peter J. Mucha , Danielle S. Bassett

We present a novel interdisciplinary framework that bridges synchronization theory and multi-agent AI systems by adapting the Kuramoto model to describe the collective dynamics of heterogeneous AI agents engaged in complex task execution.…

Multiagent Systems · Computer Science 2025-08-20 Chiranjit Mitra

Spontaneous synchronization is a remarkable collective effect observed in nature, whereby a population of oscillating units, which have diverse natural frequencies and are in weak interaction with one another, evolves to spontaneously…

Adaptation and Self-Organizing Systems · Physics 2018-08-23 Stefano Gherardini , Shamik Gupta , Stefano Ruffo

We present a model of active particles interacting through a dynamic, heterogeneous environment, leading to emergent collective behaviors without direct agent-to-agent communication. Expanding the resource-dependent framework introduced in…

Biological Physics · Physics 2026-01-22 Gaston Briozzo , Gustavo J. Sibona , Fernando Peruani

This paper proposes a general model for synchronized crowding behavior. An order parameter is introduced to quantify the level of synchronization which is shown a function of percentage of agents in reactive state. Further, synchronization…

General Finance · Quantitative Finance 2016-12-06 Jake J. Xia

The emergence of collective synchrony from an incoherent state is a phenomenon essentially described by the Kuramoto model. This canonical model was derived perturbatively, by applying phase reduction to an ensemble of heterogeneous,…

Adaptation and Self-Organizing Systems · Physics 2022-04-19 Iván León , Diego Pazó

We study an agent-based model of self-propelled particles with a velocity-dependent alignment rule. This interaction is orientation weighted and acts along the line connecting neighboring particles. Tuning the alignment strength produces…

Soft Condensed Matter · Physics 2026-05-19 Bohdan Dobosh , Alexander Yakimenko

We study a lattice model of ``commons'', where a resource is shared locally among the agents of various cooperative tendency. The payoff function of an agent is proportional to the fraction of his operation rate and the net output of the…

Statistical Mechanics · Physics 2007-05-23 Agha Afsar Ali

The effect of the chaotic dynamical states of the agents on the coevolution of cooperation and synchronization in a structured population of the agents remains unexplored. With a view to gaining insights into this problem, we construct a…

Adaptation and Self-Organizing Systems · Physics 2021-02-22 Rohitashwa Chattopadhyay , Shubhadeep Sadhukhan , Sagar Chakraborty

We study the synchronisation properties of the Kuramoto model of coupled phase oscillators on a general network. Here we distinguish the ability of such a system to self-synchronise from the stability of this behaviour. While…

Pattern Formation and Solitons · Physics 2015-05-14 Alexander C. Kalloniatis

Synchronization is a ubiquitous phenomenon occurring in social, biological, and technological systems when the internal rhythms of their constituents are adapted to be in unison as a result of their coupling. This natural tendency towards…

Statistical Mechanics · Physics 2014-11-11 Ignacio Hermoso de Mendoza , Leonardo A. Pachón , Jesús Gómez-Gardeñes , David Zueco

We study the emergent collective behaviors for an ensemble of identical Kuramoto oscillators under the effect of inertia. In the absence of inertial effects, it is well known that the generic initial Kuramoto ensemble relaxes to the…

Dynamical Systems · Mathematics 2017-07-25 Young-Pil Choi , Seung-Yeal Ha , Javier Morales

A multiagent based model for a system of cooperative agents aiming at growth is proposed. This is based on a set of generalized Verhulst-Lotka-Volterra differential equations. In this study, strong cooperation is allowed among agents having…

Physics and Society · Physics 2016-06-08 L. F. Caram , C. F. Caiafa , M. Ausloos , A. N. Proto

Dynamics of complex systems are often driven by interactions that extend beyond pairwise links, underscoring the need to establish a correspondence between interpretable system parameters and emergent phenomena in hypergraph-based networks.…

Adaptation and Self-Organizing Systems · Physics 2026-04-10 Dhrubajyoti Biswas , Arpan Banerjee

The nature of emergent collective behaviors of moving physical agents interacting with their neighborhood is a long-standing open issue in physical and biological systems alike. This calls for studies on the control of synchronization and…

Statistical Mechanics · Physics 2017-08-11 Tirthankar Banerjee , Abhik Basu

From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the…

Statistical Mechanics · Physics 2015-05-20 Shin-ichi Sasa

We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

Statistical Mechanics · Physics 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

Most national economies are linked by international trade. Consequently, economic globalization forms a massive and complex economic network with strong links, that is, interactions arising from increasing trade. Various interesting…

Physics and Society · Physics 2020-02-03 Yuichi Ikeda

In this paper, we consider multiple mobile agents moving in Euclidean space with point mass dynamics. Using a coordination control scheme, we can make the group generate stable flocking motion. The control laws are a combination of…

Statistics Theory · Mathematics 2007-06-13 Long Wang

We study a Kuramoto-like model of coupled identical phase oscillators on a network, where attractive and repulsive couplings are balanced dynamically due to nonlinearity in interaction. Under a week force, an oscillator tends to follow the…

Adaptation and Self-Organizing Systems · Physics 2015-01-28 Celso Freitas , Elbert Macau , Arkady Pikovsky
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