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Anticipation promotes the velocity alignment in collective motion

Author

Listed:
  • Zhou, Yongjian
  • Wang, Tao
  • Wang, Tonghao
  • Lei, Xiaokang
  • Peng, Xingguang

Abstract

Anticipation is a fundamental capacity found in many living organisms, particularly in humans. In this study, we investigate the influence of anticipation on collective behavior based on a self-propelled model that relies on solely attractive interaction forces. Focal particles employ anticipation to predict the future positions of neighboring particles, foreseeing their locations τ time steps ahead by utilizing linear extrapolation based on adjacent time step positions. The results demonstrate that our model can attain velocity alignment from random initial states. Theoretical derivations further reveal that as both τ and the interaction amplitude among particles increase, the translation velocity of the swarm accelerates. Notably, under certain parameters, noise above a certain value can drive swarm from misaligned to the velocity alignment state. These insights have been validated through both particle simulations and experiments employing swarm robots. Our work reveals the significant role of anticipation in collective behavior and provides a novel approach for achieving velocity alignment in swarm.

Suggested Citation

  • Zhou, Yongjian & Wang, Tao & Wang, Tonghao & Lei, Xiaokang & Peng, Xingguang, 2024. "Anticipation promotes the velocity alignment in collective motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    • Handle: RePEc:eee:phsmap:v:637:y:2024:i:c:s0378437124001092
    DOI: 10.1016/j.physa.2024.129601
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    References listed on IDEAS

    as
    1. Zhang, Shuai & Lei, Xiaokang & Zheng, Zhicheng & Peng, Xingguang, 2022. "Collective fission behavior in swarming systems with density-based interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    2. Becco, Ch. & Vandewalle, N. & Delcourt, J. & Poncin, P., 2006. "Experimental evidences of a structural and dynamical transition in fish school," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 487-493.
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