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Steady-State Analysis of Multi-agent Collective Behavior

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Advances in Human Factors and Simulation (AHFE 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 958))

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Abstract

Currently, many scholars research the interactions of collective behaviors of human beings according to the rules of collective behaviors of animals and make great progress in theory and practical application. However, in the case of multi-agent system consisting of large number of individuals, the existing control strategies cannot perfectly meet the actual demand of collective motions, those issues would cause the failure of large-scale collective motion. Thus, the research on the steady-state analysis of collective motion is more crucial. Based on the Lennard-Jones potential function and a self-organization process, this paper proposes a topological communication model to simulate the collective behaviors of real society. The structure of the collective motion at stable state are analyzed systematically by changing the number of agents in the group, the number of interconnections and the initial position. This work could provide a theoretical basis for the establishment of mass events and the prevention of mass incidents caused by social collective behavior.

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References

  1. Allison, C., Hughes, C.: Bacterial swarming: an example of procaryotic differentiation and multicellular behaviour. Sci. Prog. 75, 403–422 (1991)

    Google Scholar 

  2. Rappel, W.J., Nicol, A., Sarkissian, A., Levine, H., Loomis, W.F.: Self-organized vortex state in two-dimensional dictyostelium dynamics. Phys. Rev. Lett. 83, 1247–1250 (1999)

    Article  Google Scholar 

  3. Rauch, E.M., Millonas, M.M., Dante, C.: Pattern formation and functionality in swarm models. Phys. Lett. A 207, 185–190 (1995)

    Article  MathSciNet  Google Scholar 

  4. Helbing, D., Keltsch, J., Molnar, P.: Modelling the evolution of human trail systems. Nature 388, 47–50 (1997)

    Article  Google Scholar 

  5. Vicsek, T., Zafeiris, A.: Collective motion. Phys. Rep. 517, 71–140 (2012)

    Article  Google Scholar 

  6. Dell, A.I., et al.: Automated image-based tracking and its application in ecology. Trends Ecol. Evol. 29, 417–428 (2014)

    Article  Google Scholar 

  7. Aoki, I.: A simulation study on the schooling mechanism in fish. Bull. Jpn. Soc. Sci. Fish. 48, 1081–1088 (1982)

    Article  Google Scholar 

  8. Vicsek, T., Czirok, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of selfdriven particles. Phys. Rev. Lett. 75, 1226–1229 (1995)

    Article  MathSciNet  Google Scholar 

  9. Couzin, I., Krause, J., James, R., Ruxton, G., et al.: Collective memory and spatial sorting in animal groups. J. Theor. Biol. 218, 1–11 (2002)

    Article  MathSciNet  Google Scholar 

  10. Katz, Y., Tunstrøm, K., Ioannou, C., Huepe, C., Couzin, I.: Inferring the structure and dynamics of interactions in schooling fish. Proc. Natl. Acad. Sci. U.S.A. 108, 18720–18725 (2011)

    Article  Google Scholar 

  11. Ballerini, M., Cabibbo, N., Candelier, R., et al.: Empirical investigation of starling flocks: a benchmark study in collective animal behaviour. Anim. Behav. 76, 201–215 (2008)

    Article  Google Scholar 

  12. Gao, C., Liu, J.: Network-based modeling for characterizing human collective behaviors during extreme events. J IEEE Trans. Syst. Man Cybern. Syst. 47, 171–183 (2017)

    Article  Google Scholar 

  13. Chen, X.B., Sun, Q.B., Huang, T.Y.: Prospect for social aggregation based on simulation of communication topology. J. Univ. Sci. Technol. Liaoning 40(4), 312–320 (2017). (in Chinese)

    Google Scholar 

  14. Yuan, Y., Chen, X.B., Sun, Q., et al.: Analysis of topological relationships and network properties in the interactions of human beings. J. Plos One. 12, 1–22 (2017)

    Google Scholar 

  15. Jones, J.E. (ed.): On the determination of molecular fields. II. From the equation of state of a gas. Proc. R. Soc. Lond. A: Math., Phys. Eng. Sciences. R. Soc. 25, 125–130 (1924)

    Google Scholar 

  16. Reynolds, C.W.: Flocks, herds and schools: a distributed behavioral model. ACM SIGGRAPH Comput. Graph. 21, 25–34 (1987)

    Article  Google Scholar 

  17. Wang, G.H.: Stable structures and magic numbers of atomic clusters. J. Prog. Phys. 20(1), 53–92 (2000). (in Chinese)

    MathSciNet  Google Scholar 

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Acknowledgments

This research reported herein was supported by the NSFC of China under Grants No. 71571091 and 71771112.

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Correspondence to Xuebo Chen .

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Wei, H., Shen, M., Chen, X. (2020). Steady-State Analysis of Multi-agent Collective Behavior. In: Cassenti, D. (eds) Advances in Human Factors and Simulation. AHFE 2019. Advances in Intelligent Systems and Computing, vol 958. Springer, Cham. https://doi.org/10.1007/978-3-030-20148-7_7

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