Zhang, Ziwei, Yin, Xiuxia and Gao, Zhiwei (2023) Non-flocking and flocking for the Cucker-Smale model with distributed time delays. Journal of the Franklin Institute, 360 (12). pp. 8788-8805. ISSN 0016-0032
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Abstract
In this paper, we study a flocking behavior that may or not appear for Cucker - Smale model with distributed time delays. For the short range communicated Cucker - Smale model, the flocking condition has strong restrictions on initial data. For this case, we mainly consider the non - flocking behavior. By establishing and appropriately estimating an inequality of the position variance such that the second order space moment is unbounded, we drive a sufficient condition for the non - existence of the asymptotic flocking when the time delays satisfy a suitable smallness assumption. Furthermore, we also provide a sufficient condition of asymptotic flocking. Finally, we present numerical simulations to validate the theoretical results.
| Item Type: | Article |
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| Additional Information: | Funding information: This work is supported by NSFC (No. 61963028 and No. 61603175) and the Jiangxi Province academic and technical leader Training ProgramYoung Talents Project (20212BCJ23040). |
| Uncontrolled Keywords: | Cucker−Smale model, distributed time delays, non−flocking, flocking. |
| Subjects: | G400 Computer Science G900 Others in Mathematical and Computing Sciences |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Rachel Branson |
| Date Deposited: | 17 May 2022 11:21 |
| Last Modified: | 15 Aug 2023 13:45 |
| URI: | https://nrl.northumbria.ac.uk/id/eprint/49143 |
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