Chaos in a dynamic model of urban transportation network flow based on user equilibrium states

Chaos, Solitons and Fractals

Volumn 39, Issue 2, 2009, Pages 586-598

  Xu, Meng ^a   Gao, Ziyou ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COST ESTIMATING; ESTIMATION; TRAFFIC CONTROL; URBAN TRANSPORTATION;

DYNAMICAL BEHAVIORS; NETWORK ASSIGNMENT; NETWORK TRAFFIC FLOW; ORIGIN DESTINATION; SPATIAL DYNAMICS; TRAFFIC NETWORKS; URBAN TRANSPORTATION NETWORKS; USER EQUILIBRIUM;

COST BENEFIT ANALYSIS;

EID: 62749124159     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.077     Document Type: Article

References (20)

1. Bell G.H.M., and Lida Y. Transportation network analysis (1997), John-Wiley & Sons Ltd., West Sussex
2. Dendrinos D.S., and Sonis M. Chaos and social-spatial dynamics (1990), Springer-Verlag, Berlin
3. Dendrinos D.S. Traffic-flow dynamics: a search for chaos. Chaos, Solitons & Fractals 4 4 (1994) 605-617
4. Disbro J.E., and Frame M. Traffic flow theory and chaotic behavior. Transport Res Rec 1225 (1989) 109-115
5. Horowitz J.L. The stability of stochastic equilibrium in a two-link, transportation network. Transportation Research Part B 18 1 (1984) 13-28
6. Li K.P., and Gao Z.Y. Nonlinear dynamics analysis of traffic time series. Mod Phys Lett B 18 26 (2004) 1395-1402
7. Nagurney A., and Zhang D. Projected dynamical systems and variational inequalities with applications (1996), Kluwer, Boston
8. Nagurney A., and Zhang D. Projected dynamical systems in the formulation, stability analysis, and computation of fixed-demand traffic network equilibria. Transport Sci 31 1 (1997) 147-158
9. Nair AS, Liu J, Rilett L, Gupta S. Non-linear analysis of traffic flow. In: IEEE intelligent transportation systems conference proceedings, Oakland, USA; 2001. p. 681-5.
10. Ortúzar J.D., and Willumsen L.G. Modelling transport. 3rd ed. (2001), John-Wiley & Sons Ltd., New York
11. Patriksson M. The traffic assignment problem-models and methods (1994), VSP, Utrecht
12. Van Z., Henk J., Marina S., Van G., and Peter N. Predictability in traffic and transport decision making. Transport Res Rec 85 (1999) 21-28
13. Wardrop J.G. Some theoretical aspects of road traffic research. Proc Instn Civil Engnrs Part II 1 (1952) 352-378
14. Weidlich W. Socio dynamics: a systematic approach to mathematical modeling in the social sciences (2000), Harwood Academic, Amsterdam
15. Wilson -A. Entropy in urban and regional modelling (1970), Pion, London
16. Safanov L.A., Tomer E., Strygin V.V., Ashkenazy Y., and Havlin S. Delay-induced chaos with multi-fractal attractor in a traffic flow model. Euro-Phys Lett 57 2 (2002) 151-157
17. Sheffi Y. Urban transportation networks: equilibrium analysis with mathematical programming methods (1984), Prentice-Hall, New Jersey
18. Smith M.J. The stability of a dynamic model of traffic assignment-an application of a method of Lyapunov. Transport Sci 18 2 (1984) 245-252
19. Zhang D., and Nagurney A. Formulation, stability, and computation of traffic network equilibria as projected dynamical systems. J Optim Theory Appl 93 2 (1997) 417-444
20. Zhang X., and Jarrett D.F. Chaos in a dynamic model of traffic flows in an origin-destination network. Chaos 8 2 (1998) 503-513