Abstract
In recent years, the well-developed Vicsek model (VM) has attracted more and more attention. In this paper, a novel modified VM is proposed in order to describe the collective motion of the self-propelled particles, wherein the particles have the restricted visual field and the changing line of sight (LoS). The attention field (or field of view) of each particle is a sector, and the LoS direction randomly changes around the direction of motion, in which the changing ruler follows the normal distribution. Compared with the original Vicsek model, the proposed model is more close to the reality. Simulations are performed, and the results show that the proposed modified model can accelerate the synchronization speed and enhance the robustness.
Similar content being viewed by others
References
Vicsek, T., Zafeiris, A.: Collective motion. Phys. Rep. 517(3–4), 71–140 (2012)
Ákos, Z., Beck, R., Nagy, M., Vicsek, T., Kubinyi, E.: Leadership and path characteristics during walks are linked to dominance order and individual traits in dogs. PLoS Comput. Biol. 10(1), e1003446 (2014)
Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)
Duan, H., Zhang, X.: Phase transition of vortexlike self-propelled particles induced by a hostile particle. Phys. Rev. E 92(1), 012701 (2015)
Zhang, X., Duan, H., Luo, Q.: Levenberg–Marquardt based artificial physics method for mobile robot oscillation alleviation. Sci. China Phys. Mech. Astron. 57(9), 1771–1777 (2014)
Liu, J., Liu, Z., Chen, Z.: Coordinative control of multi-agent systems using distributed nonlinear output regulation. Nonlinear Dyn. 67(3), 1871–1881 (2012)
Yang, Z., Zhang, Q., Chen, Z.: Flocking of multi-agents with nonlinear inner-coupling functions. Nonlinear Dyn. 60(3), 255–264 (2010)
Silverberg, J.L., Bierbaum, M., Sethna, J.P., Cohen, I.: Collective motion of humans in mosh and circle pits at heavy metal concerts. Phys. Rev. Lett. 110(22), 228701 (2013)
Nagy, M., Vásárhelyi, G., Pettita, B., Roberts-Mariania, I., Vicsek, T., Biroa, D.: Context-dependent hierarchies in pigeons. Proc. Natl. Acad. Sci. USA 110(32), 13049–13054 (2013)
Nagy, M., Ákos, Z., Biro, D., Vicsek, T.: Hierarchical group dynamics in pigeon flocks. Nature 464(7290), 890–893 (2010)
Swain, D.T., Couzin, I.D., Leonard, N.E.: Real-time feedback-controlled robotic fish for behavioral experiments with fish schools. Proc. IEEE 100(1), 150–163 (2012)
Buhl, J., Sumpter, D.J.T., Couzin, I.D., Hale, J.J., Despland, E., Miller, E.R., Simpson, S.J.: From disorder to order in marching locusts. Science 312(5778), 1402–1406 (2006)
Ciszak, M., Comparini, D., Mazzolai, B., Baluska, F., Arecchi, F.T., Vicsek, T., Mancuso, S.: Swarming behavior in plant roots. PLoS ONE 7(1), e29759 (2012)
Sun, W., Yu, X., Lü, J., Chen, S.: Synchronization of coupled harmonic oscillators with random noises. Nonlinear Dyn. 79(1), 473–484 (2015)
Lopes, A.M., Machado, J.A.T.: Dynamical behaviour of multi-particle large-scale systems. Nonlinear Dyn. 69(3), 913–925 (2012)
Deutsch, A., Theraulaz, G., Vicsek, T.: Collective motion in biological systems. Interface Focus 2(6), 689–692 (2012)
Reynolds, C.W.: Flocks, herds, and schools: a distributed behavioral model. Comput. Graph. 21(4), 25–34 (1987)
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75(6), 1226–1229 (1995)
Czirók, A., Vicsek, M., Vicsek, T.: Collective motion of organisms in three dimensions. Physica A 264(1–2), 299–304 (1999)
Moussaïd, M., Helbing, D., Theraulaz, G.: How simple rules determine pedestrian behavior and crowd disasters. Proc. Natl. Acad. Sci. USA 108(17), 6884–6888 (2011)
Couzin, I.D., Krause, J., Franks, N.R.: Effective leadership and decision-making in animal groups on the move. Nature 433(7025), 513–516 (2005)
Yang, H., Zhou, T., Huang, L.: Promoting collective motion of self-propelled agents by distance-based influence. Phys. Rev. E 89(3), 032813 (2014)
Gao, J., Chen, Z., Cai, Y., Xu, X.: Enhancing the convergence efficiency of a self-propelled agent system via a weighted model. Phys. Rev. E 81(4), 041918 (2010)
George, M., Ghose, D.: Reducing convergence times of self-propelled swarms via modified nearest neighbor rules. Physica A 391(16), 4121–4127 (2012)
Aldana, M., Dossetti, V., Huepe, C., Kenkre, V.M., Larralde, H.: Phase transitions in systems of self-propelled agents and related network models. Phys. Rev. Lett. 98(9), 095702 (2007)
Peng, L., Zhao, Y., Tian, B., Zhang, J., Wang, B., Zhang, H., Zhou, T.: Consensus of self-driven agents with avoidance of collisions. Phys. Rev. E 79(2), 026113 (2009)
Zhang, J., Zhao, Y., Tian, B., Peng, L., Zhang, H., Wang, B., Zhou, T.: Accelerating consensus of self-driven swarm via adaptive speed. Physica A 388(7), 1237 (2009)
Tian, B., Yang, H., Li, W., Wang, W., Wang, B., Zhou, T.: Optimal view angle in collective dynamics of self-propelled agents. Phys. Rev. E 79(5), 052102 (2009)
Li, Y., Wang, S., Han, Z., Tian, B., Xi, Z., Wang, B.: Optimal view angle in the three-dimensional self-propelled particle model. Europhys. Lett. 93(6), 68003 (2011)
McComb, D., Kajiura, S.: Visual fields of four batoid fishes: a comparative study. J. Exp. Biol. 211(4), 482–490 (2008)
Nguyen, P.T., Lee, S.-H., Ngo, V.T.: Effect of vision angle on the phase transition in flocking behavior of animal groups. Phys. Rev. E 92(3), 032716 (2015)
Barberis, L., Peruani, F.: Large-scale patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates. Phys. Rev. Lett. 117(24), 248001 (2016)
Durve, M., Sayeed, A.: First-order phase transition in a model of self-propelled particles with variable angular range of interaction. Phys. Rev. E 93(5), 052115 (2016)
Calvão, A.M., Brigatti, E.: The role of neighbours selection on cohesion and order of swarms. PLoS ONE 9(5), e94221 (2014)
Chate, H., Gineli, F., Raynaud, F.: Collective motion of self-propelled particles interacting without cohesion. Phys. Rev. E 77(4), 046113 (2008)
Acknowledgements
This research is partially supported by the China Postdoctoral Science Foundation under Grant #71002011201601, the 2017 BJUT United Grand Scientific Research Program on Intelligent Manufacturing under Grant #040000546317552 and the General Program of Science and Technology Development Project of Beijing Municipal Education Commission under Grant #KM201510005005.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, X., Jia, S. & Li, X. Improving the synchronization speed of self-propelled particles with restricted vision via randomly changing the line of sight. Nonlinear Dyn 90, 43–51 (2017). https://doi.org/10.1007/s11071-017-3644-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-017-3644-5