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|
|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|
|Number of pages||6|
|State||Published - 2003|