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

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

doi:10.1007/978-3-662-10583-2_12

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

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

The Swiss Institute for Dryland Environmental and Energy Research

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
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
Pages	119-124
Number of pages	6
ISBN (Electronic)	9783662105832, 3662105837
ISBN (Print)	9783662105832, 3642073042
DOIs	https://doi.org/10.1007/978-3-662-10583-2_12
State	Published - Jan 2003

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10.1007/978-3-662-10583-2_12

Cite this

@inproceedings{5a07c8233bd64699aea0deb7f3e7c47c,

title = "Chaos and Multifractality in a Time-Delay Car-Following Traffic Model",

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.",

author = "Safonov, \{L. A.\} and E. Tomer and Strygin, \{V. V.\} and Y. Ashkenazy and S. Havlin",

note = "The contributions are based on the International Workshop Traffic and Granular Flow '01, which took place in Nagoya, 15 - 17 October 2001. ",

year = "2003",

month = jan,

doi = "10.1007/978-3-662-10583-2\_12",

language = "English",

isbn = "9783662105832",

pages = "119--124",

editor = "Minoru Fukui and Yuki Sugiyama and Michael Schreckenberg and Wolf, \{Dietrich E.\}",

booktitle = "Traffic and Granular Flow '01",

publisher = "Springer Berlin Heidelberg",

}

Chaos and Multifractality in a Time-Delay Car-Following Traffic Model. / Safonov, L. A.; Tomer, E.; Strygin, V. V. et al.
Traffic and Granular Flow '01. ed. / Minoru Fukui; Yuki Sugiyama; Michael Schreckenberg; Dietrich E. Wolf. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. p. 119-124.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Chaos and Multifractality in a Time-Delay Car-Following Traffic Model

AU - Safonov, L. A.

AU - Tomer, E.

AU - Strygin, V. V.

AU - Ashkenazy, Y.

AU - Havlin, S.

N1 - The contributions are based on the International Workshop Traffic and Granular Flow '01, which took place in Nagoya, 15 - 17 October 2001.

PY - 2003/1

Y1 - 2003/1

N2 - 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.

AB - 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.

U2 - 10.1007/978-3-662-10583-2_12

DO - 10.1007/978-3-662-10583-2_12

M3 - Conference contribution

SN - 9783662105832

SN - 3642073042

SP - 119

EP - 124

BT - Traffic and Granular Flow '01

A2 - Fukui, Minoru

A2 - Sugiyama, Yuki

A2 - Schreckenberg, Michael

A2 - Wolf, Dietrich E.

PB - Springer Berlin Heidelberg

CY - Berlin, Heidelberg

ER -

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

Abstract

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