| Issue |
Europhys. Lett.
Volume 57, Number 2, January 2002
|
|
|---|---|---|
| Page(s) | 151 - 157 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00555-0 | |
| Published online | 01 September 2002 | |
Delay-induced chaos with multifractal attractor in a traffic flow model
1
Minerva Center and Department of Physics,
Bar-Ilan University Ramat-Gan 52900, Israel
2
Department of Applied Mathematics and Mechanics,
Voronezh State University Voronezh 394693, Russia
3
Center for Global Change Science, Massachusetts Institute of Technology
Cambridge, MA 02139, USA
Received:
18
April
2001
Accepted:
26
October
2001
We study the presence of chaos in a car-following traffic model based on a system of delay-differential equations. We find that for low and high values of cars density the system has a stable steady-state solution. Our results show that above a certain time delay and for intermediate density values the system passes to chaos following the Ruelle-Takens-Newhouse scenario (fixed point–limit cycles–two-tori–three-tori–chaos). Exponential decay of the power spectrum and non-integer correlation dimension suggest the existence of chaos. We find that the chaotic attractors are multifractal.
PACS: 02.30.Ks – Delay and functional equations / 05.45.Ac – Low-dimensional chaos / 89.40.+k – Transportation
© EDP Sciences, 2002
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