A vehicle overtaking model of traffic dynamics

DOI10.1063/1.2752969zbMath1163.37339OpenAlexW1992661931WikidataQ50085447 ScholiaQ50085447MaRDI QIDQ3636603

Mark McCartney, S. Jamison

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1063/1.2752969

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (9)

A NEW FAMILY OF FIRST-ORDER TIME-DELAYED CHAOTIC SYSTEMS ⋮ Discontinuous periodic behaviour in a looped macroscopic model of traffic dynamics ⋮ A trip time model for traffic flow on a semi-closed loop ⋮ Continuation of oscillatory patterns in a road traffic model of three cars ⋮ A traffic flow model with overtaking as a Filippov system ⋮ A discrete time car following model and the bi-parameter logistic map ⋮ Investigation of a traffic modelling inspired two dimensional map ⋮ Discrete vs. Continuous time implementation of a ring car following model in which overtaking is allowed ⋮ Characterization of the nontrivial and chaotic behavior that occurs in a simple city traffic model

Cites Work

• Unnamed Item
• Measuring the strangeness of strange attractors
• A nonlinear temporal headway model of traffic dynamics
• Traffic theory.
• Modifications of the optimal velocity traffic model to include delay due to driver reaction time
• A novel nonlinear car-following model
• Nonlinear Follow-the-Leader Models of Traffic Flow

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