Bifurcation analysis of a speed gradient continuum traffic flow model

DOI10.1016/j.physa.2015.06.004zbMath1400.90088OpenAlexW609759519MaRDI QIDQ1618735

Zhong-Ke Shi, Wen-Huan Ai, Da-Wei Liu

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.physa.2015.06.004

zbMATH Keywords

stability analysisbifurcation analysisnonlinear traffic phenomenastop-and-go

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Bifurcations in context of PDEs (35B32) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (11)

Multiple scales scheme for bifurcation in a delayed extended van der Pol oscillator ⋮ An extended continuum traffic model with the consideration of the optimal velocity difference ⋮ A new heterogeneous traffic flow model based on lateral distance headway ⋮ Bifurcation analysis of traffic flow through an improved car-following model considering the time-delayed velocity difference ⋮ Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling ⋮ Bifurcation analysis of an extended macro model considering time delay and anticipation effect ⋮ Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions. ⋮ Bifurcation analysis for a novel heterogeneous continuum model considering electronic throttle angle changes with memory ⋮ Bifurcation analysis of a heterogeneous continuum traffic flow model ⋮ Effect of density integration on the stability of a new lattice hydrodynamic model ⋮ Phase-plane analysis to an “anisotropic” higher-order traffic flow model

Cites Work

• Analysis of a continuous car-following model for a bus route: Existence, stability and bifurcations of synchronous motions
• Complex motions of shuttle buses by speed control
• A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior
• Instability of cooperative adaptive cruise control traffic flow: a macroscopic approach
• Nonlinear analysis of an extended traffic flow model in ITS environment

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