Summary
The behavior of vehicle following model was investigated in the paper from the point of view of non-linear dynamics. When the mean density of the traffic flow exceeds some critical limit the formation of stable dissipative structures can be observed. This pattern-producing system shows further properties typical of complex system as well.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Haberman R (1998) Mathematical Models: Mechanical Vibrations, Population Dynamics and Traffic Flow. Society for Industrial and Applied Mathematics, Philadelphia.
Treiber M, Hennecke A, Helbing D (2000) Phys Rev E, 62:1805–1824.
Rizos C (2003) Network RTK Research and Implementation - A Geodetic Perspective. Journal of Global Postioning System, Vol. 1, No. 2.
Born M, Huang K (1998) Dynamical Theory of Crystal Lattice, Oxford University Press Inc.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Apeltauer, T., Holcner, P., Macur, J. (2009). Pattern Formation in Traffic Microscopic Model. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_24
Download citation
DOI: https://doi.org/10.1007/978-3-540-77074-9_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77073-2
Online ISBN: 978-3-540-77074-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)