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Accelerating consensus of self-driven swarm via adaptive speed

Author

Listed:
  • Zhang, Jue
  • Zhao, Yang
  • Tian, Baomei
  • Peng, Liqian
  • Zhang, Hai-Tao
  • Wang, Bing-Hong
  • Zhou, Tao

Abstract

In recent years, the well-developed Vicsek model has attracted more and more attention. Unfortunately, in-depth research on its convergence speed is not yet completed. In this paper, we investigate some key factors governing the convergence speed of the Vicsek model with the assistance of extensive numerical simulations. A significant phenomenon surfaces that the convergence time scales obeys a power law with r2lnN, with r and N being the horizon radius and the number of particles, respectively. To further accelerate the convergence procedure, we propose a kind of improved Vicsek model with self-driven particles governed by variational speeds, which can remarkably shorten the convergence time of the standard Vicsek model.

Suggested Citation

  • Zhang, Jue & Zhao, Yang & Tian, Baomei & Peng, Liqian & Zhang, Hai-Tao & Wang, Bing-Hong & Zhou, Tao, 2009. "Accelerating consensus of self-driven swarm via adaptive speed," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1237-1242.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:7:p:1237-1242
    DOI: 10.1016/j.physa.2008.11.043
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    Citations

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    Cited by:

    1. Yandong Xiao & Chuliang Song & Liang Tian & Yang-Yu Liu, 2019. "Accelerating The Emergence Of Order In Swarming Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-12, December.
    2. Chen, Yu-Rong & Zhang, Xian-Xia & Yu, Yin-Sheng & Ma, Shi-Wei & Yang, Banghua, 2022. "Enhancing convergence efficiency of self-propelled agents using direction preference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    3. Zhang, Xiangyin & Fan, Suyao & Wu, Weihuan, 2023. "Enhancing synchronization of self-propelled particles via modified rule of fixed number of neighbors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).

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