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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 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

We examine a network of entities whose internal and external dynamics are intricately coupled, modeled through the concept of ``swarmalators'' as introduced by O'Keeffe et al. \textcolor{blue}{\cite{o2017oscillators}}. We investigate how…

Adaptation and Self-Organizing Systems · Physics 2025-01-13 Steve J. Kongni , Thierry Njougouo , Gaël R. Simo , Patrick Louodop , Robert Tchitnga , Hilda A. Cerdeira

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

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

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

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

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 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

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

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

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 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

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

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

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

We consider a population of two-dimensional oscillators with random couplings, and explore the collective states. The coupling strength between oscillators is randomly quenched with two values one of which is positive while the other is…

Soft Condensed Matter · Physics 2021-11-10 Hyunsuk Hong , Kangmo Yeo , Hyun Keun Lee

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

We study the emergent behaviors of a population of swarming coupled oscillators, dubbed 'swarmalators'. Previous work considered the simplest, idealized case: identical swarmalators with global coupling. Here we expand this work by adding…

Adaptation and Self-Organizing Systems · Physics 2023-03-22 Steven Ceron , Kevin O'Keeffe , Kirstin Petersen

We investigate the role of frequency-weighted interactions in a solvable model of one-dimensional (1D) swarmalators confined to a ring, where both spatial and phase couplings are scaled by the heterogeneous natural frequencies of individual…

Adaptation and Self-Organizing Systems · Physics 2025-10-08 R. Senthamizhan , R. Gopal , V. K. Chandrasekar
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