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Collective behavior of self-propelled particles with heterogeneity in both dynamics and delays

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  • Zhou, Yongjian
  • Wang, Tonghao
  • Lei, Xiaokang
  • Peng, Xingguang

Abstract

Heterogeneity is a common feature in natural swarms, such as variations in mobility, perception ability, etc., among particles. In this study, we investigate the collective behavior considering both dynamic heterogeneity and time delay heterogeneity, based on a model with symmetric attractive forces. Three patterns emerge from our model: translating, ring and rotating states. Through mean-field approximation and bifurcation analysis, we theoretically derive the properties of these three patterns and identify the conditions for switching between these patterns in the parameter space. Based on this analysis, we find that separation occurs in all three patterns, and we analyze the reasons for the separation of different states. Furthermore, we validate the theoretical analysis through particle simulation experiments.

Suggested Citation

  • Zhou, Yongjian & Wang, Tonghao & Lei, Xiaokang & Peng, Xingguang, 2024. "Collective behavior of self-propelled particles with heterogeneity in both dynamics and delays," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001474
    DOI: 10.1016/j.chaos.2024.114596
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    References listed on IDEAS

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    1. Sun, Fenglan & Wang, Rui & Zhu, Wei & Li, Yongfu, 2019. "Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 66-77.
    2. Shuguang Li & Richa Batra & David Brown & Hyun-Dong Chang & Nikhil Ranganathan & Chuck Hoberman & Daniela Rus & Hod Lipson, 2019. "Particle robotics based on statistical mechanics of loosely coupled components," Nature, Nature, vol. 567(7748), pages 361-365, March.
    3. Miguel Duarte & Vasco Costa & Jorge Gomes & Tiago Rodrigues & Fernando Silva & Sancho Moura Oliveira & Anders Lyhne Christensen, 2016. "Evolution of Collective Behaviors for a Real Swarm of Aquatic Surface Robots," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-25, March.
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