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Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

Adaptation and Self-Organizing Systems · Physics 2015-08-19 Jason Hindes , Christopher R. Myers

Systems of mobile physical entities exchanging information with their neighborhood can be found in many different situations. The understanding of their emergent cooperative behaviour has become an important issue across disciplines,…

Soft Condensed Matter · Physics 2017-03-15 Demian Levis , Ignacio Pagonabarraga , Albert Diaz-Guilera

Real-world networks are often characterized by simultaneous interactions between multiple agents that adapt themselves due to feedback from the environment. In this article, we investigate the dynamics of an adaptive multilayer network of…

Adaptation and Self-Organizing Systems · Physics 2025-01-22 Richita Ghosh , Md Sayeed Anwar , Dibakar Ghosh , Jurgen Kurths , Manish Dev Shrimali

Synchronization is a fundamental phenomenon in complex systems, observed across a wide range of natural and engineered contexts. The Kuramoto model provides a foundational framework for understanding synchronization among coupled…

Adaptation and Self-Organizing Systems · Physics 2026-02-03 Riccardo Muolo , Hiroya Nakao , Marco Coraggio

The features of animal population dynamics, for instance, flocking and migration, are often synchronized for survival under large-scale climate change or perceived threats. These coherent phenomena have been explained using synchronization…

Adaptation and Self-Organizing Systems · Physics 2020-09-09 Jinha Park , B. Kahng

We investigate macroscopic behavior of a dynamical network consisting of a time-evolving wiring of interactions among a group of random walkers. We assume that each walker (agent) has an oscillator and show that depending upon the nature of…

Chaotic Dynamics · Physics 2017-07-06 Soumen Majhi , Dibakar Ghosh

The understanding of synchronization ranging from natural to social systems has driven the interests of scientists from different disciplines. Here, we have investigated the synchronization dynamics of the Kuramoto dynamics departing from…

Disordered Systems and Neural Networks · Physics 2009-09-29 Jie Ren , Huijie Yang

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…

Physics and Society · Physics 2018-06-08 Lluis Arola-Fernandez , Albert Diaz-Guilera , Alex Arenas

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

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

In the last twenty years network science has proven its strength in modelling many real-world interacting systems as generic agents, the nodes, connected by pairwise edges. Yet, in many relevant cases, interactions are not pairwise but…

Physics and Society · Physics 2020-02-26 Timoteo Carletti , Federico Battiston , Giulia Cencetti , Duccio Fanelli

The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

This article suggests ways to implement sequential, parallel and in the form of a given configuration of the movement of an ensemble (swarm) of mobile agents using the effect of chaotic phase synchronization. The possibility of controlling…

Adaptation and Self-Organizing Systems · Physics 2023-12-13 E. M. Varvarin , G. V. Osipov

Synchronization is an omnipresent collective phenomenon in nature and technology, whose understanding is in particular for real-world systems still elusive. We study the synchronization transition in a phase oscillator system with two…

Adaptation and Self-Organizing Systems · Physics 2023-08-02 Rico Berner , Annie Lu , Igor M. Sokolov

We analyze the emergence of synchronization in a population of moving integrate-and-fire oscillators. Oscillators, while moving on a plane, interact with their nearest neighbor upon firing time. We discover a non-monotonic dependence of the…

Adaptation and Self-Organizing Systems · Physics 2013-12-06 Luce Prignano , Oleguer Sagarra , Albert Díaz-Guilera

We obtain Central Limit Theorems in Functional form for a class of time-inhomogeneous interacting random walks on the simplex of probability measures over a finite set. Due to a reinforcement mechanism, the increments of the walks are…

Probability · Mathematics 2016-06-09 Irene Crimaldi , Paolo Dai Pra , Pierre-Yves Louis , Ida Germana Minelli

Different aspects of synchronization emerging in dynamical networks of coupled oscillators have been examined prominently in the last decades. Nevertheless, little attention has been paid on the emergence of this imperative collective…

Adaptation and Self-Organizing Systems · Physics 2019-01-09 Soumen Majhi , Dibakar Ghosh , Jürgen Kurths

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

In networks of coupled oscillators, it is of interest to understand how interaction topology affects synchronization. Many studies have gained key insights into this question by studying the classic Kuramoto oscillator model on static…

Adaptation and Self-Organizing Systems · Physics 2020-09-29 William Qian , Lia Papadopoulos , Zhixin Lu , Keith Wiley , Fabio Pasqualetti , Danielle S. Bassett

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
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