A novel nonlinear car-following model

DOI10.1063/1.166364zbMath0999.37054OpenAlexW1968047199WikidataQ50102612 ScholiaQ50102612MaRDI QIDQ2727155

David J. Low, Paul S. Addison

Publication date: 14 August 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166364

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Simulation of dynamical systems (37M05) Numerical chaos (65P20)

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When Does Chaos Appear While Driving? Learning Dynamical Systems Via Car-Following Models ⋮ A velocity matching car-following model on a closed ring in which overtaking is allowed ⋮ Rich dynamics in some discrete-time car-following models ⋮ Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic ⋮ NONLINEAR DYNAMICS ANALYSIS OF TRAFFIC TIME SERIES ⋮ Chaos analysis and delayed-feedback control in a discrete dynamic coupled map traffic model ⋮ Discrete vs. Continuous time implementation of a ring car following model in which overtaking is allowed ⋮ A vehicle overtaking model of traffic dynamics ⋮ Distributional chaos for the forward and backward control traffic model

Cites Work

• Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria
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• On the characterization of non-linear oscillator systems in chaotic mode
• Nonlinear Follow-the-Leader Models of Traffic Flow
• Car-Following and Steady-State Theory for Noncongested Traffic
• Independent coordinates for strange attractors from mutual information
• On kinematic waves II. A theory of traffic flow on long crowded roads