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Related papers: Swarmalators with delayed interactions

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We study the collective behavior of swarmalators, generalizations of phase oscillators that both sync and swarm, confined to move on a 1D ring. This simple model captures some of the essence of movement in 2D or 3D but has the benefit of…

Adaptation and Self-Organizing Systems · Physics 2022-02-02 Kevin O'Keeffe , Steven Ceron , Kirstin Petersen

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 investigate a population of swarmalators, a mobile version of phase oscillators that both sync in time and swarm through space. We focus on a XY-type model of identical swarmalators running on a one-dimensional ring and subject to…

Statistical Mechanics · Physics 2024-09-06 Hyunsuk Hong , Kevin P. O'Keeffe , Jae Sung Lee , Hyunggyu Park

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 a class of coupled oscillators that simultaneously synchronize in both space and phase, providing a minimal model for systems ranging from biological microswimmers to robotic swarms. Time delay is ubiquitous in such…

Adaptation and Self-Organizing Systems · Physics 2026-05-13 Rommel Tchinda Djeudjo , Gourab Kumar Sar , Timoteo Carletti

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 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

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

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 have emerged as a new paradigm for dynamical collective behavior of multi-agent systems due to the interplay of synchronization and swarming that they inherently incorporate. Their dynamics have been explored with different…

Adaptation and Self-Organizing Systems · Physics 2022-09-07 Gourab Kumar Sar , Dibakar Ghosh

We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have both attractive and repulsive interactions. This one-dimensional (1D) swarmalator model produces several of collective states: the…

Dynamical Systems · Mathematics 2024-01-08 Baoli Hao , Ming Zhong , Kevin O'Keeffe

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

We study a simple two-dimensional swarmalator model that incorporates higher-order phase interactions, uncovering a diverse range of collective states. The latter include spatially coherent and gas-like configurations, neither of which…

Adaptation and Self-Organizing Systems · Physics 2025-04-24 Md Sayeed Anwar , Gourab Kumar Sar , Timoteo Carletti , Dibakar Ghosh

Swarlamators are particles capable of synchronize and swarm. Here we study the effects produced by an external periodic stimulus over a system of swarmalators that move in two dimensions. When the particles are fixed and interact with equal…

Pattern Formation and Solitons · Physics 2020-05-20 Joao U. F. Lizarraga , Marcus A. M. de Aguiar

Higher-order interactions shape collective dynamics, but how they affect transitions between different states in swarmalator systems is yet to be determined. To that effect, we here study an analytically tractable swarmalator model that…

Adaptation and Self-Organizing Systems · Physics 2024-04-11 Md Sayeed Anwar , Gourab Kumar Sar , Matjaz Perc , 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

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 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 model of non-identical swarmalators, generalizations of phase oscillators that both sync in time and swarm in space. The model produces four collective states: asynchrony, sync clusters, vortex-like phase-waves, and a mixed…

Adaptation and Self-Organizing Systems · Physics 2022-11-23 S. Yoon , K. P. O'Keeffe , J. F. F. Mendes , A. V. Goltsev

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
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