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Collective behavior of interacting self-propelled particles

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  • Czirók, András
  • Vicsek, Tamás

Abstract

We discuss biologically inspired, inherently non-equilibrium models of self-propelled particles, in which the particles interact with their neighbors by choosing at each time step the local average direction of motion. We summarize some of the results of large-scale simulations and theoretical approaches about the effects of noise and dimensionality on the scaling behavior of such systems.

Suggested Citation

  • Czirók, András & Vicsek, Tamás, 2000. "Collective behavior of interacting self-propelled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 17-29.
    • Handle: RePEc:eee:phsmap:v:281:y:2000:i:1:p:17-29
    DOI: 10.1016/S0378-4371(00)00013-3
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    References listed on IDEAS

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    1. Erik M. Rauch & Mark M. Millonas & Dante R. Chialvo, 1995. "Pattern Formation and Functionality in Swarm Models," Working Papers 95-08-073, Santa Fe Institute.
    2. Czirók, András & Vicsek, Mária & Vicsek, Tamás, 1999. "Collective motion of organisms in three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 299-304.
    3. Dirk Helbing & Joachim Keltsch & Péter Molnár, 1997. "Modelling the evolution of human trail systems," Nature, Nature, vol. 388(6637), pages 47-50, July.
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    Cited by:

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    2. Ye Yuan & Xuebo Chen & Qiubai Sun & Tianyun Huang, 2017. "Analysis of topological relationships and network properties in the interactions of human beings," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-22, August.
    3. 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.
    4. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
    5. Xi, Jianxiang & Yao, Zhicheng & Wang, Zhong & Liu, Guangbin & Zhong, Yisheng, 2014. "Admissible L2 consensus for singular time-delayed swarm systems with external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 165-176.
    6. Barbaro, Alethea B.T. & Taylor, Kirk & Trethewey, Peterson F. & Youseff, Lamia & Birnir, Björn, 2009. "Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3397-3414.
    7. Xi, Jianxiang & Cai, Ning & Zhong, Yisheng, 2010. "Consensus problems for high-order linear time-invariant swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5619-5627.
    8. Huepe, Cristián & Aldana, Maximino, 2008. "New tools for characterizing swarming systems: A comparison of minimal models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2809-2822.
    9. Zabzina, Natalia, 2015. "A gradient flow approach to the model of positive feedback in decision-making," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 215-224.
    10. Mirabet, Vincent & Auger, Pierre & Lett, Christophe, 2007. "Spatial structures in simulations of animal grouping," Ecological Modelling, Elsevier, vol. 201(3), pages 468-476.
    11. Liu, Bo & Chu, Tianguang & Wang, Long & Wang, Zhanfeng, 2008. "Collective motion of a class of social foraging swarms," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 277-292.
    12. Collet, Jacques Henri, 2007. "Order–disorder alternations in the populations of faulty repulsive agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 345-364.
    13. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2011. "Consensus analysis and design for high-order linear swarm systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4114-4123.

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