Cucker-Smale flocking with randomly failed interactions

Cucker-Smale flocking with randomly failed interactions
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Cucker-Smale 聚集,相互作用随机失败

DOI:
10.1016/j.jfranklin.2014.12.007
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发表时间:
2015-03-01
影响因子:
4.1
通讯作者:
Xue, Xiaoping
Xue, Xiaoping
中科院分区:
计算机科学3区
文献类型:
--
作者:
Ru, Lining;Li, Zhuchun;Xue, Xiaoping

文献摘要

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We consider the Cucker Smale model consisting of interacted particles involving random failure. More precisely, each pair of neighboring agents can fail to interact with a certain probability. Two cases are considered: undirected connected interactions and directed rooted interactions. Our results show that the unconditional flocking for long-range communication rate is still true independently of the failure rate probability. For short-range communication rate, conditional flocking can be established. These results, together with the previous study of Dalmao and Mordecki (2012) [8], suggest that the C-S flocking system under various interaction topologies can endure random failure in interactions. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.