Abstract
The presence of chaos in traffic is studied using a car-following model based on a system of delay-differential equations. We find 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 positive Lyapunov exponents support the existence of chaos. We find that the chaotic attractors are multifractal.
Original language | English GB |
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Title of host publication | Traffic and Granular Flow'01 |
Editors | Minoru Fukui, Yuki Sugiyama, Michael Schreckenberg, Dietrich E. Wolf |
Place of Publication | Berlin, Heidelberg |
Publisher | Springer Berlin Heidelberg |
Pages | 119-124 |
Number of pages | 6 |
ISBN (Print) | 978-3-662-10583-2 |
State | Published - 2003 |