Consensus of self-driven agents with avoidance of collisions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 2, 2009, Pages

  Peng, Liqian ^a   Zhao, Yang ^a   Tian, Baomei ^a   Zhang, Jue ^a   Wang, Bing Hong ^a,b   Zhang, Hai Tao ^c,d   Zhou, Tao ^a,b,e  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

^c HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^e UNIVERSITY OF FRIBOURG   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SPEED; COLLECTIVE MOTIONS; MULTI-AGENT SYSTEMS; SAFE DISTANCES; SELF-DRIVEN;

EID: 63149193394     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.026113     Document Type: Article

References (41)

1. L. Segel, SIAM J. Appl. Math. 32, 653 (1977). 10.1137/0132054
2. A. Czirók, E. Ben-Jacob, I. Cohen, and T. Vicsek, Phys. Rev. E 54, 1791 (1996). 10.1103/PhysRevE.54.1791
3. F. Nédélec, T. Surrey, A. Maggs, and S. Leibler, Nature (London) 389, 305 (1997). 10.1038/38532
4. J. K. Parrish and W. M. Hamner, Animal Groups in Three Dimensions (Cambridge University Press, Cambridge, England, 1997), and references therein.
5. M. T. Laub and W. F. Loomis, Mol. Biol. Cell 9, 3521 (1998).
6. E. Ben-Jacob, I. Cohen, and H. Levine, Adv. Phys. 49, 395 (2000). 10.1080/000187300405228
7. R. Kemkemer, V. Teichgräber, S. Schrank, D. Kaufmann, and H. Gruler, Eur. Phys. J. E 3, 101 (2000). 10.1007/s101890070023
8. Y. Inada and K. Kawachi, J. Theor. Biol. 214, 371 (2002). 10.1006/jtbi.2001.2449
9. I. D. Couzin and J. Krause, Adv. Study Behav. 32, 175 (2003).
10. I. Prigogine and R. Herman, Kinetic Theory of Vehicular Traffic (Elsevier, New York, 1971).
11. D. Helbing and B. A. Huberman, Nature (London) 396, 738 (1998). 10.1038/25499
12. D. Helbing and M. Treiber, Phys. Rev. Lett. 81, 3042 (1998). 10.1103/PhysRevLett.81.3042
13. A. Jadbabaie, J. Lin, and A. S. Morse, IEEE Trans. Autom. Control 48, 988 (2003). 10.1109/TAC.2003.812781
14. T. Chu, L. Wang, and T. Chen, J. Control Theory Appl. 1, 77 (2003). 10.1007/s11768-003-0012-4
15. N. E. Leonard and E. Fiorelli, Proceedings of the 40th IEEE Conference on Decision and Control, 2001 (unpublished), Vol. 3, p. 2968.
16. Y. Liu, K. M. Passino, and M. M. Polycarpou, IEEE Trans. Autom. Control 48, 76 (2003). 10.1109/TAC.2002.806657
17. D. Grossman, I. S. Aranson, and E. Ben-Jacob, New J. Phys. 10, 023036 (2008). 10.1088/1367-2630/10/2/023036
18. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995). 10.1103/PhysRevLett.75.1226
19. A. Czirók, H. E. Stanley, and T. Vicsek, J. Phys. A 30, 1375 (1997). 10.1088/0305-4470/30/5/009
20. A. Czirók, A.-L. Barabási, and T. Vicsek, Phys. Rev. Lett. 82, 209 (1999). 10.1103/PhysRevLett.82.209
21. J. Toner, Y. Tu, and S. Ramaswamy, Ann. Phys. (N.Y.) 318, 170 (2005). 10.1016/j.aop.2005.04.011
22. M. Aldana, V. Dossetti, C. Huepe, V. M. Kenkre, and H. Larralde, Phys. Rev. Lett. 98, 095702 (2007). 10.1103/PhysRevLett.98.095702
23. W. Li, H. T. Zhang, Michael ZhiQiang Chen, and T. Zhou, Phys. Rev. E 77, 021920 (2008). 10.1103/PhysRevE.77.021920
24. H. Chate, F. Ginelli, G. Gregoire, and F. Raynaud, Phys. Rev. E 77, 046113 (2008). 10.1103/PhysRevE.77.046113
25. I. D. Couzin, J. Krause, N. R. Franks, and S. A. Levin, Nature (London) 433, 513 (2005). 10.1038/nature03236
26. S. Mu, T. Chu, and L. Wang, Physica A 351, 211 (2005). 10.1016/j.physa.2004.12.054
27. W. Li and X. F. Wang, Phys. Rev. E 75, 021917 (2007). 10.1103/PhysRevE.75.021917
28. J. Zhang, Y. Zhao, B. M. Tian, L. Q. Peng, H. T. Zhang, B. H. Wang, and T. Zhou, Physica A 388, 1237 (2009). 10.1016/j.physa.2008.11.043
29. H. T. Zhang, M. Z. Q. Chen, and T. Zhou, e-print arXiv:0707.3402.
30. H. T. Zhang, M. Z. Q. Chen, G. B. Stan, T. Zhou, and J. M. Maciejowski, IEEE Circuits Syst. Mag. 8, 67 (2008). 10.1109/MCAS.2008.928446
31. H. T. Zhang, M. Z. Q. Chen, T. Zhou, and G.-B. Stan, EPL 83, 40003 (2008). 10.1209/0295-5075/83/40003
32. H. T. Zhang, M. Z. Q. Chen, and T. Zhou, Phys. Rev. E 79, 016113 (2009). 10.1103/PhysRevE.79.016113
33. G. Grégoire, H. Chaté, and Y. Tu, Physica D 181, 157 (2003). 10.1016/S0167-2789(03)00102-7
34. G. Grégoire and H. Chaté, Phys. Rev. Lett. 92, 025702 (2004). 10.1103/PhysRevLett.92.025702
35. Z. Csahok and T. Vicsek, Phys. Rev. E 52, 5297 (1995). 10.1103/PhysRevE.52.5297
36. N. Shimoyama, K. Sugawara, T. Mizuguchi, Y. Hayakawa, and M. Sano, Phys. Rev. Lett. 76, 3870 (1996). 10.1103/PhysRevLett.76.3870
37. H. Levine, W.-J. Rappel, and I. Cohen, Phys. Rev. E 63, 017101 (2000). 10.1103/PhysRevE.63.017101
38. I. D. Couzin, J. Krause, R. James, and G. D. Ruxton, J. Theor. Biol. 218, 1 (2002). 10.1006/jtbi.2002.3065
39. V. Gazi and K. M. Passino, IEEE Trans. Autom. Control 48, 692 (2003). 10.1109/TAC.2003.809765
40. V. Gazi and K. M. Passino, Int. J. Control 77, 1567 (2004). 10.1080/00207170412331330021
41. B.-M. Tian, H.-X. Yang, W. Li, T. Zhou, W.-X. Wang, and B.-H. Wang, e-print arXiv:0806.3594.