Bifurcation analysis of a heterogeneous continuum traffic flow model

DOI10.1016/j.apm.2021.01.025zbMath1481.90121OpenAlexW3123419131MaRDI QIDQ2243384

Weilin Ren, Hong-Xia Ge, Rong-Jun Cheng

Publication date: 11 November 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.01.025

zbMATH Keywords

bifurcation analysispsychological headwayheterogeneous continuum traffic flow modelself-stabilizing effect

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) Traffic problems in operations research (90B20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary lattice differential equations (34A33)

Related Items (7)

A new heterogeneous traffic flow model based on lateral distance headway ⋮ Bifurcation analysis of an extended macro model considering time delay and anticipation effect ⋮ Stability and energy consumption of a double flow controlled two-lane traffic system with vehicle-to-infrastructure communication ⋮ Bifurcation analysis of a new stochastic traffic flow model ⋮ Short-term traffic flow prediction based on a hybrid optimization algorithm ⋮ Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic ⋮ Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal

Cites Work

• Continuum model for traffic flow considering safe driving awareness heterogeneity
• Bifurcation analysis of a speed gradient continuum traffic flow model
• An extended macro traffic flow model accounting for multiple optimal velocity functions with different probabilities
• An extended heterogeneous car-following model with the consideration of the drivers' different psychological headways
• An extended continuum model considering optimal velocity change with memory and numerical tests
• Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model
• An extended car-following model considering driver's memory and average speed of preceding vehicles with control strategy
• An improved car-following model with consideration of multiple preceding and following vehicles in a driver's view
• An extended continuum model accounting for the driver's timid and aggressive attributions
• TRAVELING WAVES, CATASTROPHES AND BIFURCATIONS IN A GENERIC SECOND ORDER TRAFFIC FLOW MODEL
• Global Bifurcation Diagram for the Kerner–Konhäuser Traffic Flow Model

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