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Swarmalators are entities that combine the swarming behavior of particles with the oscillatory dynamics of coupled phase oscillators and represent a novel and rich area of study within the field of complex systems. Unlike traditional models…

Adaptation and Self-Organizing Systems · Physics 2024-12-13 Gourab Kumar Sar , Sheida Ansarinasab , Fahimeh Nazarimehr , Farnaz Ghassemi , Sajad Jafari , Dibakar Ghosh

Swarmalators are oscillatory systems endowed with a spatial component, whose spatial and phase dynamics affect each other. Such systems can demonstrate fascinating collective dynamics resembling many real-world processes. Through this work,…

Adaptation and Self-Organizing Systems · Physics 2023-09-11 Samali Ghosh , Gourab Kumar Sar , Soumen Majhi , Dibakar Ghosh

Swarmalators are phase oscillators that cluster in space, like fireflies flashing on a swarm to attract mates. Interactions between particles, which tend to synchronize their phases and align their motion, decrease with the distance and…

Pattern Formation and Solitons · Physics 2023-05-16 Joao U. F. Lizarraga , Marcus A. M. de Aguiar

Swarmalators are active agents that move in position space and exhibit internal degrees of freedom. Due to interactions of their positions and phases of oscillation, they show on the one hand swarming, similar to the effect of flocking of…

Adaptation and Self-Organizing Systems · Physics 2025-12-05 Brennan J. H. Hughes , Christoph Bruder , Tobias Kehrer

Systems of oscillators whose internal phases and spatial dynamics are coupled, swarmalators, present diverse collective behaviors which in some cases lead to explosive synchronization in a finite population as a function of the coupling…

Adaptation and Self-Organizing Systems · Physics 2024-09-17 Steve J. Kongni , Thierry Njougouo , Patrick Louodop , Robert Tchitnga , Fernando F. Ferreira , Hilda A. Cerdeira

Synchronization is a universal phenomenon, seen in systems as diverse as superconducting Josephson junctions and discharging pacemaker cells. Here the elements have rhythmic state variables whose mutual influence promotes temporal order. A…

Adaptation and Self-Organizing Systems · Physics 2018-08-15 Kevin P. O'Keeffe , Joep H. M. Evers , Theodore Kolokolnikov

Swarmalators, entities that combine the properties of swarming particles with synchronized oscillations, represent a novel and growing area of research in the study of collective behavior. This review provides a comprehensive overview of…

Adaptation and Self-Organizing Systems · Physics 2026-01-16 Gourab Kumar Sar , Kevin O'Keeffe , Joao U. F. Lizarraga , Marcus A. M. de Aguiar , Christian Bettstetter , Dibakar Ghosh

Synchronization occurs in many natural and technological systems, from cardiac pacemaker cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the timing of their oscillations, but they do not move…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Kevin P. O'Keeffe , Hyunsuk Hong , Steven H. Strogatz

Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems which mix synchrony with self-assembly, they remain poorly understood theoretically. Here we obtain the…

Adaptation and Self-Organizing Systems · Physics 2023-12-27 Kevin O'Keeffe , Gourab Kumar Sar , Md Sayeed Anwar , Joao U. F. Lizárraga , Marcus A. M. de Aguiar , Dibakar Ghosh

Swarmalators are entities with the simultaneous presence of swarming and synchronization that reveal emergent collective behavior due to the fascinating bidirectional interplay between phase and spatial dynamics. Although different coupling…

Chaotic Dynamics · Physics 2022-08-02 Gourab K. Sar , Sayantan Nag Chowdhury , Matjaz Perc , Dibakar Ghosh

We study a population of swarmalators (swarming/mobile oscillators) which run on a ring and are subject to random pinning. The pinning represents the tendency of particles to stick to defects in the underlying medium which competes with the…

Chaotic Dynamics · Physics 2023-03-08 Gourab Kumar Sar , Dibakar Ghosh , Kevin O'Keeffe

Swarmalators are phase oscillators capable of simultaneous swarming and synchronization, making them potential candidates for replicating complex dynamical states. In this work, we explore the effects of a frustration parameter in the phase…

Adaptation and Self-Organizing Systems · Physics 2025-01-10 R. Senthamizhan , R. Gopal , V. K. Chandrasekar

We study a simple one-dimensional model of swarmalators, a generalization of phase oscillators that swarm around in space as well as synchronize internal oscillations in time. Previous studies of the model focused on Kuramoto-type…

Adaptation and Self-Organizing Systems · Physics 2025-04-22 Samali Ghosh , Kevin O'Keeffe , Gourab Kumar Sar , Dibakar Ghosh

Swarmalators are entities that swarm through space and sync in time and are potentially considered to replicate the complex dynamics of many real-world systems. So far, the internal dynamics of swarmalators have been taken as a phase…

Adaptation and Self-Organizing Systems · Physics 2024-04-29 Samali Ghosh , Suvam Pal , Gourab Kumar Sar , Dibakar Ghosh

We investigate the effects of delayed interactions in a population of ``swarmalators", generalizations of phase oscillators that both synchronize in time and swarm through space. We discover two steady collective states: a state in which…

Adaptation and Self-Organizing Systems · Physics 2022-10-21 Nicholas Blum , Andre Li , Kevin O'Keeffe , Oleg Kogan

Similar to sperm, where individuals self-organize in space while also striving for coherence in their tail swinging, several natural and engineered systems exhibit the emergence of swarming and synchronization. The arising and interplay of…

Adaptation and Self-Organizing Systems · Physics 2025-01-13 Joao U. F. Lizarraga , Kevin P. O'Keeffe , Marcus A. M. de Aguiar

In this work we study the synchronization of Kuramoto oscillators driven by external forces in complex modular networks. The motivation is the neuronal dynamics that takes place during information processing in the neural cortex. The neuron…

Adaptation and Self-Organizing Systems · Physics 2020-04-02 Carolina Arruda Moreira

We study the dynamics of a swarmalator model with higher harmonic phase coupling. We analyze stability, bifurcation and structural properties of several novel attracting states, including the formation of spatial clusters with distinct…

Adaptation and Self-Organizing Systems · Physics 2023-10-04 Lauren D. Smith

We study a simple model of identical swarmalators, generalizations of phases oscillators that swarm through space. We confine the movements to a one-dimensional (1D) ring and consider distributed (non-identical) couplings; the combination…

Adaptation and Self-Organizing Systems · Physics 2022-09-14 Kevin O'Keeffe , Hyunsuk Hong

We propose a modified swarmalator model that generates collective rotational currents in phase synchronization. Our approach builds on the original swarmalator model [4], introducing a key modification: the phase-dependent terms in the…

Adaptation and Self-Organizing Systems · Physics 2025-12-02 Hyun Keun Lee , Hyunsuk Hong
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