Collective behavior for the delayed Cucker-Smale system in a harmonic potential field
Collective behavior for the delayed Cucker-Smale system in a harmonic potential field
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DOI：
10.1090/proc/16471
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发表时间：
2024
期刊：
影响因子：
--
通讯作者：
Yue Wang
中科院分区：
文献类型：
--
作者：
Linglong Du;Xiaoyue Han;Yue Wang
We consider a time varying delayed Cucker-Smale system in a harmonic potential field and analyze its long time collective behavior. Under appropriate assumptions on the initial data, we show the asymptotic collective behavior when the time varying delay is uniformly bounded by a sufficiently small constant. Our strategies are based on the Lyapunov functional approach, forward-backward estimate and the continuity argument. Finally, some numerical tests are performed to illustrate the theoretical result.
