Chaos and Multifractality in a Time-Delay Car-Following Traffic Model

L. A. Safonov, E. Tomer, V. V. Strygin, Y. Ashkenazy and S. Havlin
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L. A. Safonov: Bar-Ilan University, Minerva Center and Department of Physics
E. Tomer: Bar-Ilan University, Minerva Center and Department of Physics
V. V. Strygin: Voronezh State University, Department of Applied Mathematics and Mechanics
Y. Ashkenazy: Center for Global Change Science, Massachusetts Institute of Technology
S. Havlin: Bar-Ilan University, Minerva Center and Department of Physics

A chapter in Traffic and Granular Flow’01, 2003, pp 119-124 from Springer

Abstract: 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.

Keywords: Lyapunov Exponent; Hopf Bifurcation; Traffic Flow; Chaotic Attractor; Granular Flow (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-662-10583-2_12

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