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

L. A. Safonov, E. Tomer, V. V. Strygin, Y. Ashkenazy, S. Havlin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageEnglish GB
Title of host publicationTraffic and Granular Flow'01
EditorsMinoru Fukui, Yuki Sugiyama, Michael Schreckenberg, Dietrich E. Wolf
Place of PublicationBerlin, Heidelberg
PublisherSpringer Berlin Heidelberg
Number of pages6
ISBN (Print)978-3-662-10583-2
StatePublished - 2003


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