Chaos in a dynamic model of traffic flows in an origin-destination network

Chaos

Volumn 8, Issue 2, 1998, Pages 503-513

  Zhang, Xiaoyan ^a   Jarrett, David F ^b  

^a EDINBURGH NAPIER UNIVERSITY   (United Kingdom)

^b MIDDLESEX UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039413537     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166331     Document Type: Article

References (10)

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3. D. F. Jarrett and X. Zhang, "The dynamic behavior of road traffic flow: stability or chaos?" BCS Displays Group: Application of Fractals and Chaos, edited by A. J. Crilly, R. A. Earnshaw, and H. Jones (Springer-Verlag, Berlin, 1993).
4. X. Zhang and D. F. Jarrett, "Traffic equilibrium in a dynamic trip assignment model and a dynamic gravity model," Transportation Networks: Recent Methodological Advances, edited by M. G. H. Bell (Elsevier, Oxford, 1998).
5. J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists (Wiley, New York, 1988).
6. R. Conte and M. Dubois, "Liapunov exponents of experimental systems," Nonlinear Evolutions, edited by J. J. P. Leon (World Scientific, Singapore, 1988).
7. P. Grassberger and I. Procaccia, "Measuring the strangeness of strange attractors," Physica D 9, 189 (1983).
8. J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617 (1985).
9. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining Liapunov exponents from a time series," Physica D 16, 285 (1985).
10. T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems (Springer-Verlag, Berlin, 1989).