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Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble

Cited 1 time in Web of Science Cited 1 time in Scopus
Authors

Cho, Hangjun; Du, Linglong; Ha, Seung-Yeal

Issue Date
2022-01-01
Publisher
BROWN UNIV
Citation
QUARTERLY OF APPLIED MATHEMATICS, Vol.80 No.1, pp.1-22
Abstract
We study emergent behaviors of thermomechanical Cucker-Smale (TCS) ensemble confined in a harmonic potential field. In the absence of external force field, emergent dynamics of TCS particles has been extensively studied recently under various frameworks formulated in terms of initial configuration, system parameters and network topologies. Moreover, the TCS model does not exhibit rotating motions in the absence of an external force field. In this paper, we show the emergence of periodically rotating onepoint cluster for the TCS model in a harmonic potential field using elementary energy estimates and continuity argument. We also provide several numerical simulations and compare them with analytical results.
ISSN
0033-569X
URI
https://hdl.handle.net/10371/179501
DOI
https://doi.org/10.1090/qam/1602
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