Periodic solutions of a non-linear traffic model

Physica A: Statistical Mechanics and its Applications

Volumn 285, Issue 1, 2000, Pages 147-155

  Safonov, L A ^a,b   Tomer, E ^a   Strygin, V V ^b   Havlin, S ^a  

^a BAR ILAN UNIVERSITY   (Israel)

^b VORONEZH STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; APPROXIMATION THEORY; AUTOMOBILES; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; MATRIX ALGEBRA; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; TWO DIMENSIONAL;

DENSITY FLUX PLANE; HOPF BIFURCATIONS; LIMIT CYCLES; NONLINEAR TRAFFIC MODEL; PERIODIC SOLUTIONS; TRAFFIC FLOW;

TRAFFIC SURVEYS;

EID: 0034275481     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00278-8     Document Type: Article

References (27)

1. Lighthill M.J., Whitham G.B. Proc. R. Soc. London Ser. A. 229:1955;281.
2. Prigogine I. Kinetic Theory of Vehicular Traffic. 1971;American Elsevier, New York.
3. May A.D. Traffic Flow Foundations. 1990;Prentice-Hall, Englewood Cliffs, NJ.
4. Nagel K., Schreckenberg M. J. Phys. I (France). 2:1992;2221.
5. Wolf D.E., Schreckenberg M., Bachem (Eds.) A. Proceedings of Workshop on Traffic and Granular Flow (1995, Julich). 1996;World Scientific, Singapore.
6. Schreckenberg M., Wolf (Eds.) D.E. Proceedings of Workshop on Traffic and Granular Flow (1997, Duisburg). 1998;Springer, Singapore.
7. Kerner B.S., Rehborn H. Phys. Rev. E. 53:1996;R4275.
8. Kerner B.S., Rehborn H. Phys. Rev. Lett. 79:1997;4030.
9. Neubert L., Santen L., Schadschneider A., Schreckenberg M. Phys. Rev. E. 60:1999;6480.
10. Kerner B.S. Phys. Rev. Lett. 81:1998;3797.
11. Kerner B.S. Physics World. 12(8):1999;25.
12. Tomer E., Safonov L., Havlin S. Phys. Rev. Lett. 84:2000;382.
13. Helbing D., Hennecke A., Treiber M. Phys. Rev. Lett. 82:1999;4360.
14. Helbing D., Treiber M. Science. 282:1998;2001.
15. Lee H.Y., Lee H.-W., Kim D. Phys. Rev. Lett. 81:1998;1130.
16. Bando M., Hasebe K., Nakayama A., Shibata A., Sugiyama Y. Phys. Rev. E. 51:1995;1035.
17. Y. Sugiyama, in: D.E. Wolf, M. Schreckenberg, A. Bachem (Eds.), Proceedings of Workshop on Traffic and Granular Flow (1995, Julich), World Scientific, Singapore, 1996, p. 137.
18. Biham O., Middleton A.A., Levine D. Phys. Rev. A. 46:1992;R6124.
19. Nagel K. Phys. Rev. E. 53:1996;4655.
20. Wolf D.E. Physica A. 263:1999;438.
21. Helbing D., Schreckenberg M. Phys. Rev. E. 59:1999;R2505.
22. Cheybani S., Kertesz J., Schreckenberg M. J. Phys. A. 31:1998;9787.
23. Chowdhury D., Santen L., Schadschneider A. Phys. Rep. 329:2000;199.
24. Fukui M., Ishibashi Y. J. Phys. Soc. Jap. 66:1997;385.
25. Nagel K., Herrmann H. Physica A. 199:1993;254.
26. E.Ya. Zhuravleva, V.V. Strygin, Prikladnaya Matematika i Mekhanika 39 (1975) 369 (in Russian).
27. Malkin I.G. Some problems of theory of nonlinear oscilations. 1959;U.S. Atomic Energy Commission, Washington, DC.