Rich dynamics in some discrete-time car-following models

DOI10.1016/J.PHYSA.2019.04.162OpenAlexW2940474442WikidataQ128021242 ScholiaQ128021242MaRDI QIDQ2164270

Xiujuan Wang, Ming-Shu Peng

Publication date: 12 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.physa.2019.04.162

zbMATH Keywords

chaotic mapstraffic flowcar-following models

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Chaotic behavior of solutions of difference equations (39A33) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Stochastic dynamics of a discrete-time car-following model and its time-delayed feedback control ⋮ A stable velocity control strategy for a discrete-time car-following model ⋮ A double velocity control method for a discrete-time cooperative driving system with varying time-delay

Cites Work

• Unnamed Item
• A discrete time car following model and the bi-parameter logistic map
• A novel nonlinear car-following model
• Chaos in a dynamic model of traffic flows in an origin-destination network
• Nonlinear Follow-the-Leader Models of Traffic Flow
• Ergodic theory of chaos and strange attractors
• Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic
• Elements of applied bifurcation theory

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