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.
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