Delay-induced chaos with multifractal attractor in a traffic flow model

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

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

Abstract

We study the presence of chaos in a car-following traffic model based on a system of delay-differential equations. We find that for low and high values of cars density the system has a stable steady-state solution. Our results show 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 non-integer correlation dimension suggest the existence of chaos. We find that the chaotic attractors are multifractal.

Original languageEnglish
Pages (from-to)151-157
Number of pages7
JournalEPL
Volume57
Issue number2
DOIs
StatePublished - 19 Aug 2002
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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