Nonlinear analysis of the optimal velocity difference model with reaction-time delay

DOI10.1016/j.physa.2013.11.007zbMath1395.90106OpenAlexW1968785719MaRDI QIDQ1782585

Jie Zhou, Jin-Liang Cao, Zhong-Ke Shi

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.11.007

zbMATH Keywords

numerical simulationtraffic flowoptimal velocity difference modelreaction-time delay

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Lattice functional-differential equations (34K31)

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Cites Work

• Delay times in a cellular traffic flow model for road sections with periodic outflow
• Modifications of the optimal velocity traffic model to include delay due to driver reaction time
• Optimal velocity difference model for a car-following theory
• Bifurcations and multiple traffic jams in a car-following model with reaction-time delay
• Nonlinear dynamics of traffic jams
• Density waves in the full velocity difference model
• Pattern formation outside of equilibrium
• Nonlinear Effects in the Dynamics of Car Following
• Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic
• Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton

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