{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T16:48:27Z","timestamp":1772556507810,"version":"3.50.1"},"reference-count":49,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2020,2]]},"abstract":"<jats:p> Our ability to understand and control the emergence of order in swarming systems is a fundamental challenge in contemporary science. The standard Vicsek model (SVM) \u2014 a minimal model for swarming systems of self-propelled particles \u2014 describes a large population of agents reaching global alignment without the need of central control. Yet, the emergence of order in this model takes time and is not robust to noise. In many real-world scenarios, we need a decentralized protocol to guide a swarming system (e.g., unmanned vehicles or nanorobots) to reach an ordered state in a prompt and noise-robust manner. Here, we find that introducing a simple adaptive rule based on the heading differences of neighboring particles in the Vicsek model can effectively speed up their global alignment, mitigate the disturbance of noise to alignment, and maintain a robust alignment under predation. This simple adaptive model of swarming systems could offer new insights in understanding the prompt and flexible formation of animals and help us design better protocols to achieve fast and robust alignment for multi-agent systems. <\/jats:p>","DOI":"10.1142\/s0219525919500152","type":"journal-article","created":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T04:13:38Z","timestamp":1577333618000},"page":"1950015","source":"Crossref","is-referenced-by-count":9,"title":["ACCELERATING THE EMERGENCE OF ORDER IN SWARMING SYSTEMS"],"prefix":"10.1142","volume":"23","author":[{"given":"YANDONG","family":"XIAO","sequence":"first","affiliation":[{"name":"Channing Division of Network Medicine, Brigham and Women\u2019s Hospital, Harvard Medical School, Boston, Massachusetts 02115, USA"},{"name":"College of System Engineering, National University of Defense Technology, Changsha, Hunan 410073, P.\u00a0R.\u00a0China"}]},{"given":"CHULIANG","family":"SONG","sequence":"additional","affiliation":[{"name":"Department of Civil and Environmental Engineering, MIT, Cambridge, Massachusetts 02139, USA"}]},{"given":"LIANG","family":"TIAN","sequence":"additional","affiliation":[{"name":"Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR, P.\u00a0R.\u00a0China"}]},{"given":"YANG-YU","family":"LIU","sequence":"additional","affiliation":[{"name":"Channing Division of Network Medicine, Brigham and Women\u2019s Hospital, Harvard Medical School, Boston, Massachusetts 02115, USA"},{"name":"Center for Cancer Systems Biology, Dana-Farber Cancer Institute, Boston, Massachusetts 02115, 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