Kink-antikink density wave of an extended car-following model in a cooperative driving system

Communications in Nonlinear Science and Numerical Simulation

Volumn 13, Issue 10, 2008, Pages 2167-2176

  Yu, Lei ^a   Shi, Zhongke ^a   Zhou, Bingchang ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

Cooperative driving system; Density wave; Kink antikink soliton; Traffic flow

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM STABILITY; LINEAR STABILITY ANALYSIS; NONLINEAR ANALYSIS; VELOCITY CONTROL;

COOPERATIVE DRIVING SYSTEM; KINK-ANTIKINK DENSITY WAVE; MODIFIED KORTEWEG-DE VRIES EQUATION; TRAFFIC JAM;

TRAFFIC SURVEYS;

COMPUTER SIMULATION; CONTROL SYSTEM STABILITY; LINEAR STABILITY ANALYSIS; NONLINEAR ANALYSIS; TRAFFIC SURVEYS; VELOCITY CONTROL;

EID: 43049171855     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.07.008     Document Type: Article

References (27)

1. In: Schreckenberg M., and Wolf D.E. (Eds). Traffic and granular flow'97 (1998), Springer
2. In: Helbing D., Herrmann H.J., Schreckenberg M., and Wolf D.E. (Eds). Traffic and granular flow'99 (2000), Springer
3. Chowdhury D., Santen L., and Schadschneider A. Statistical physics of vehicular traffic and some related systems. Phys Rep 329 (2000) 199-329
4. Helbing D. Traffic and related self-driven many-particle systems. Rev Mod Phys 73 (2001) 1067-1141
5. Nagatani T. The physics of traffic jams. Rep Prog Phys 65 (2002) 1331-1386
6. Kurtze D.A., and Hong D.C. Traffic jams, granular flow, and soliton selection. Phys Rev E 52 (1995) 218-221
7. Krauss S., Wagner P., and Gawron C. Metastable states in a microscopic model of traffic flow. Phys Rev E 55 (1997) 5597-5602
8. Feng S.W., Gu G.Q., and Dai S.Q. Effects of traffic lights on CA traffic model. Commun Nonlinear Sci Numer Simul 2 (1997) 70-74
9. Treiber M., Hennecke A., and Helbing D. Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic model. Phys Rev E 59 (1999) 239-253
10. Hu Y.T. A new cellular automaton model for traffic flow. Commun Nonlinear Sci Numer Simul 4 (1999) 264-267
11. Nagatani T., and Nagai R. Chaotic and periodic motions of two competing vehicles controlled by traffic lights. Chaos, Solitons Fractals 25 (2005) 245-253
12. Watanabe M.S. Dynamics of group motions controlled by signal processing: a cellular-automaton model and its applications. Commun Nonlinear Sci Numer Simul 11 (2006) 624-634
13. Fu C.J., Wang B.H., Yin C.Y., Zhou T., Hu B., Gao K., et al. Analytical studies on a modified Nagel-Schreckenberg model with the Fukui-Ishibashi acceleration rule. Chaos, Solitons Fractals 31 (2007) 772-776
14. Bando M., Hasebe K., Nakayama A., Shibata A., and Sugiyama Y. Dynamical model of traffic congestion and numerical simulation. Phys Rev E 51 (1995) 1035-1042
15. Kerner B.S. The physics of traffic (2004), Springer
16. Nagatani T. Stabilization and enhancement of traffic flow by the next-nearest-neighbor interaction. Phys Rev E 60 (1999) 6395-6401
17. Sawada S. Nonlinear analysis of a differential-difference equation with next-nearest-neighbour interaction for traffic flow. J Phys A 34 (2001) 11253-11259
18. Xue Y. Analysis of the stability and density waves for traffic flow. Chin Phys 11 (2002) 1128-1134
19. Hasebe K., Nakayama A., and Sugiyama Y. Equivalence of linear response among extended optimal velocity models. Phys Rev E 69 (2004) 0171031-0171033
20. Ge H.X., Dai S.Q., Dong L.Y., and Xue Y. Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. Phys Rev E 70 (2004) 066134-1-066134-6
21. Ge H.X., Dai S.Q., and Dong L.Y. An extended car-following model based on intelligent transportation system application. Phys A 365 (2006) 543-548
22. Li Z.P., and Liu Y.C. Analysis of stability and density waves of traffic flow model in an ITS environment. Eur Phys J B 53 (2006) 367-374
23. Jiang R., Wu Q., and Zhu Z. Full velocity difference model for a car-following theory. Phys Rev E 64 (2001) 017101-1-017101-4
24. Komatsu T., and Sasa S. Kink soliton characterizing traffic congestion. Phys Rev E 52 (1995) 5574-5582
25. Nagatani T. Density waves in traffic flow. Phys Rev E 61 (2000) 3564-3570
26. Ge H.X., Cheng R.J., and Dai S.Q. KdV and kink-antikink solitons in car-following models. Phys A 357 (2005) 466-476
27. Nagatani T., and Nakanishi K. Phase transition in a difference equation model of traffic flow. J Phys A 31 (1998) 5431-5438