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Flocking and collision avoidance problem of a singular Cucker–Smale model with external perturbations

Author

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  • Zhao, Rundong
  • Liu, Qiming
  • Zhang, Huazong

Abstract

In order to study the influence of external force or external perturbation on flocking behavior, a Cucker–Smale flocking model with singular communication weight and perturbation functions is proposed. By imposing appropriate restrictions on the perturbation functions, we first prove the system does not allow any collisions between agents under certain initial conditions. Moreover, under the same conditions, we obtain the system has an asymptotic flocking. Last, we give specific examples of perturbation functions and verify the correctness of the results through numerical simulations.

Suggested Citation

  • Zhao, Rundong & Liu, Qiming & Zhang, Huazong, 2022. "Flocking and collision avoidance problem of a singular Cucker–Smale model with external perturbations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    • Handle: RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009316
    DOI: 10.1016/j.physa.2021.126718
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    Cited by:

    1. Zhu, Jian & Xi, Jingke & Li, Shihan & Shi, Hongjun & Sun, Yongzheng, 2024. "Time cost estimation for flocking of Cucker–Smale type models with switching protocol," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    2. Li, Saisai & Wang, Wenke & Li, Le & Huang, Chuangxia & Yao, Zhaoye, 2024. "Hierarchical clustering cooperation flocking based on feedback mechanism," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 110-147.

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