Stabilization analysis and modified KdV equation of lattice models with consideration of relative current

International Journal of Modern Physics C

Volumn 19, Issue 8, 2008, Pages 1163-1173

  Li, Zhipeng ^a   Li, Xingli ^b   Liu, Fuqiang ^a  

^a TONGJI UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Lattice model; Numerical simulation; Relative current; Traffic flow

Indexed keywords

EID: 52949097699     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183108012868     Document Type: Article

References (21)

1. M. Schreckenberg and D. E. Wolf (eds.), Traffic and Granular Flow '97 (Springer, Singapore, 1998).
2. D. Helbing, Verkehrsdynamik (Springer, Berlin, 1997).
3. M. Schreckenberg and D. E. Wolf (eds.), Traffic and Granular Flow '97 (Springer, Berlin, 1997).
4. K. Nagel and M. Schreckenberg, J. Phys. 12, 2221 (1992).
5. B. S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997).
6. B. S. Kerner and H. Rehborn, Phys. Rev. E 53, R4275 (1996).
7. G. F. Newell, Oper. Res. 9, 209 (1961).
8. M. Bando, K. Hasebe, A. Nakayama, A. Shibata and Y. Sugiyama, Phys. Rev. E 51, 1035 (1995).
9. T. Nagatani and K. Nakanishi, Phys. Rev. E 57, 6415 (1998).
10. T. Nagatani, K. Nakanishi and H. Emmerich, J. Phys. A 31, 5431 (1998).
11. X. M. Zhao and Z. Y. Gao, Eur. Phys. J. B 47, 1445 (2005).
12. B. S. Kerner and P. Konhäuser, Phys. Rev. E 48, 2335 (1993).
13. D. A. Kurtze and D. C. Hong, Phys. Rev. E 52, 218 (1995).
14. T. Komatsu and S. Sasa, Phys. Rev. E 52, 5574 (1995).
15. T. Nagatani, Physica A 261, 599 (1998).
16. D. Helbing and B. A. Huberman, Nature 396, 738 (1998).
17. T. Nagatani, Phys. Rev. E 60, 6395 (1999).
18. H. X. Ge, S. Q. Dai and L. Y. Dong, Phys. Rev. E 70, 066134 (2004).
19. H. X. Ge, S. Q. Dai, Y. Xue and L. Y. Dong, Phys. Rev. E 71, 066119 (2005).
20. D. Helbing and B. Tilch, Phys. Rev. E 58, 133 (1998).
21. H. X. Ge, R. J. Cheng and S. Q. Dai, Physica A 357, 466 (2005).