Polynomial Approach and Non-linear Analysis for a Traffic Fundamental Diagram
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Institute of Transportation Engineers (ITE) Traffic Engineering Handbook 6th ed. Washington DC, 2009.
Payne H., Models of freeway traffic and control, in Mathematic Models of Public Systems. Smulation Council, 1971;28(1):51–61.
Daganzo C. F., Fundamentals of Transportation and Traffic Operations, Pergamon, Elsevier.
Marušić S., Fluid Models in the Traffic Flow Theory, Promet - Traffic & Transportation, 2000;12(1):7-14.
Chapra S. and Canale R., Numerical Methods for Engineers, 6th Ed. McGraw-Hill, 2009.
Lo S.-C. and Cho H.-J., Chaos and control of discrete dynamic model, Journal of the Franklin Institute, 2005;342:839–851.
Devaney R. L., An introduction to chaotic dynamical systems, 1987.
Thamizh V. A. and Dhivya G., Measuring heterogeneous traffic density, International Journal of Engineering and Applied Sciences, 2010; 6(3): 144–148.
Kim T. and Zhang H. M., An empirical study on gap time and its relation to the fundamental diagram of traffic flow, in 7th International IEEE Conference on Intelligent Transportation Systems, Washington, D.C., 2004:94–99.
Lighthill M. J. and Whitham G. B., On kinematic waves. I. Flood movement in long rivers, Proc. Royal Soc. A., 1955;229:281–316.
Richards P. I., Shock waves on the highway, Operation research, 1956;4:42–51.
Holmgren, R. A., A first Course in Discrete Dynamical Systems, Springer, N. Y., 1994.
Greenberg, H., An analysis of traffic flow. Operations Research 1959;7:79-85.
Greenshields, B.D. “A study of traffic capacity”. Highway Research Board, 1935;14:448-477.
Ngoc P.H.A., Hieu L.T., On stability of discrete-time systems under nonlinear time-varying perturbations, Advance in Difference Equations 2012;2012:120.