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Transition to synchrony in a three-dimensional swarming model with helical trajectories

  • We investigate the transition from incoherence to global collective motion in a three-dimensional swarming model of agents with helical trajectories, subject to noise and global coupling. Without noise this model was recently proposed as a generalization of the Kuramoto model and it was found that alignment of the velocities occurs discontinuously for arbitrarily small attractive coupling. Adding noise to the system resolves this singular limit and leads to a continuous transition, either to a directed collective motion or to center-of-mass rotations.

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Author details:Chunming ZhengORCiDGND, Ralf ToenjesORCiD, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1103/PhysRevE.104.014216
ISSN:2470-0045
ISSN:2470-0053
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/34412260
Title of parent work (English):Physical review : E, Statistical, nonlinear and soft matter physics
Publisher:American Physical Society
Place of publishing:College Park
Publication type:Article
Language:English
Date of first publication:2021/07/26
Publication year:2021
Release date:2023/06/20
Volume:104
Issue:1
Article number:014216
Number of pages:7
Funding institution:China Scholarship Council (CSC)China Scholarship Council; Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie
Peer review:Referiert
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