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Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble
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Cited 1 time in Scopus
- Authors
- 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
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