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Improved Vicsek model based on two exponential coupling functions

Author

Listed:
  • Xinbiao Lu

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

  • Wen Wu

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

  • Changjiang Han

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

  • Wentao Zhang

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

  • Gaofan Zhan

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

  • Xiaolong Wu

    (College of Artificial Intelligence and Automation, Hohai University, Nanjing 211100, P. R. China)

Abstract

In order to speed up the consensus of the Vicsek model, existing studies assign different coupling strengths according to the inter-particle Euclidean distance, which effectively reduces the convergence step. In this paper, we propose two new coupling functions, resulting in two improved Vicsek models. Improved Model I introduces the exponential Relu coupling function into the original Vicsek model, and Improved Model II introduces the exponential Swish coupling function into the original Vicsek model. Simulations show that both improved Vicsek models have fewer convergence steps than the original improved Vicsek model based on the coupling function. With different system parameters, the number of convergence steps is smaller than the original improved Vicsek model based on the coupling function. In addition, the number of convergence steps further decreases when the exponent increases and then gradually remains constant. The improved Vicsek model II also achieves better results in resisting noise.

Suggested Citation

  • Xinbiao Lu & Wen Wu & Changjiang Han & Wentao Zhang & Gaofan Zhan & Xiaolong Wu, 2025. "Improved Vicsek model based on two exponential coupling functions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(07), pages 1-15, July.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:07:n:s0129183124502565
    DOI: 10.1142/S0129183124502565
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