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Oscillators that sync and swarm

Author

Listed:
  • Kevin P. O’Keeffe

    (Cornell University)

  • Hyunsuk Hong

    (Chonbuk National University)

  • Steven H. Strogatz

    (Cornell University)

Abstract

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 through space. A complementary form of self-organization occurs among swarming insects, flocking birds, or schooling fish; now the individuals move through space, but without conspicuously altering their internal states. Here we explore systems in which both synchronization and swarming occur together. Specifically, we consider oscillators whose phase dynamics and spatial dynamics are coupled. We call them swarmalators, to highlight their dual character. A case study of a generalized Kuramoto model predicts five collective states as possible long-term modes of organization. These states may be observable in groups of sperm, Japanese tree frogs, colloidal suspensions of magnetic particles, and other biological and physical systems in which self-assembly and synchronization interact.

Suggested Citation

  • Kevin P. O’Keeffe & Hyunsuk Hong & Steven H. Strogatz, 2017. "Oscillators that sync and swarm," Nature Communications, Nature, vol. 8(1), pages 1-13, December.
    • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_s41467-017-01190-3
    DOI: 10.1038/s41467-017-01190-3
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    Cited by:

    1. Gaurav Gardi & Steven Ceron & Wendong Wang & Kirstin Petersen & Metin Sitti, 2022. "Microrobot collectives with reconfigurable morphologies, behaviors, and functions," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    2. Mikaberidze, Guram & Nag Chowdhury, Sayantan & Hastings, Alan & D’Souza, Raissa M., 2024. "Consensus formation among mobile agents in networks of heterogeneous interaction venues," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Ling, Xiang & Liu, Qing-Yang & Hua, Xia & Zhu, Kong-Jin & Guo, Ning & Chen, Jia-Jia, 2023. "The spatial group and cyclic oscillations caused by the power correlation between the moving direction and the phase of a moving oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    4. Park, Junpyo, 2022. "Effect of external migration on biodiversity in evolutionary dynamics of coupled cyclic competitions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Dai, X. & Kovalenko, K. & Molodyk, M. & Wang, Z. & Li, X. & Musatov, D. & Raigorodskii, A.M. & Alfaro-Bittner, K. & Cooper, G.D. & Bianconi, G. & Boccaletti, S., 2021. "D-dimensional oscillators in simplicial structures: Odd and even dimensions display different synchronization scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    6. Ansarinasab, Sheida & Nazarimehr, Fahimeh & Ghassemi, Farnaz & Ghosh, Dibakar & Jafari, Sajad, 2024. "Spatial dynamics of swarmalators’ movements," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    7. Guy Amichay & Liang Li & Máté Nagy & Iain D. Couzin, 2024. "Revealing the mechanism and function underlying pairwise temporal coupling in collective motion," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    8. Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Xu, Jin & Yang, Huijie, 2023. "Multiple moving agents on complex networks: From intermittent synchronization to complete synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    9. Fariello, Ricardo & de Aguiar, Marcus A.M., 2024. "Exploring the phase diagrams of multidimensional Kuramoto models," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    10. Minati, Ludovico & Innocenti, Giacomo & Mijatovic, Gorana & Ito, Hiroyuki & Frasca, Mattia, 2022. "Mechanisms of chaos generation in an atypical single-transistor oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    11. Michael Riedl & Isabelle Mayer & Jack Merrin & Michael Sixt & Björn Hof, 2023. "Synchronization in collectively moving inanimate and living active matter," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    12. Carballosa, Alejandro & Muñuzuri, Alberto P., 2022. "Intermittency regimes of poorly-mixed chemical oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    13. Chen, Jie & Cao, Jinde & Huang, Wei, 2023. "Traffic-driven explosive synchronization with adaptive local routing in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    14. Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Yang, Huijie & Zhang, Jie & Small, Michael, 2023. "Synchronization of multiple mobile reservoir computing oscillators in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    15. Xiangzun Wang & Pin-Chuan Chen & Klaus Kroy & Viktor Holubec & Frank Cichos, 2023. "Spontaneous vortex formation by microswimmers with retarded attractions," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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