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Flocking Behavior of Cucker–Smale Model with Processing Delay

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  • Jianfei Cheng
  • Maoli Chen
  • Xiao Wang

Abstract

The dynamics of a delay multiparticle swarm, which contains symmetric and asymmetric pairwise influence functions, are analyzed. Two different sufficient conditions to achieve conditional flocking are obtained. One does not have a clear relationship with this delay, and the other proposes a range of processing delays that affect the emergence of a flock. It is also pointed out that if the interparticle communication function has tail dissipation, unconditional flocking can be guaranteed. Compared with the previous results, the range of the communication rate that allows a flock to emerge has been expanded from 1/4 to 1/2.

Suggested Citation

  • Jianfei Cheng & Maoli Chen & Xiao Wang, 2020. "Flocking Behavior of Cucker–Smale Model with Processing Delay," Complexity, Hindawi, vol. 2020, pages 1-6, July.
    • Handle: RePEc:hin:complx:2724806
    DOI: 10.1155/2020/2724806
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