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Chaos analysis and delayed-feedback control in a discrete dynamic coupled map traffic model

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  • Fang, Yaling
  • Shi, Zhongke

Abstract

The presence of chaos in traffic flow is studied using a modified discrete dynamic coupled map model which is derived from both the flow–density–speed fundamental diagram and Del Castillo’s speed–density model. The modified model employs occupancy as its new variable and introduces a coupling strength with the consideration of effect of the front adjacent vehicle. And we analyze its stability of the control system and provide a procedure to design the decentralized delayed-feedback controllers for the traffic control system. These theoretical results are illustrated by numerical simulations.

Suggested Citation

  • Fang, Yaling & Shi, Zhongke, 2015. "Chaos analysis and delayed-feedback control in a discrete dynamic coupled map traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 40-46.
    • Handle: RePEc:eee:phsmap:v:422:y:2015:i:c:p:40-46
    DOI: 10.1016/j.physa.2014.11.038
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    References listed on IDEAS

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    1. Denos C. Gazis & Robert Herman & Richard W. Rothery, 1961. "Nonlinear Follow-the-Leader Models of Traffic Flow," Operations Research, INFORMS, vol. 9(4), pages 545-567, August.
    2. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 373-389, October.
    3. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--II: Empirical investigation," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 391-406, October.
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    Cited by:

    1. Tang, Yuan & Xue, Yu & Huang, Mu-Yang & Wen, Qi-Yun & Cen, Bing-Ling & Chen, Dong, 2023. "Bifurcation analysis and control strategy for a car-following model considering jerk behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    2. Wang, Tao & Zhang, Yuanshu & Zhang, Jing & Li, Zhen & Li, Shubin, 2020. "New feedback control strategy for optimal velocity traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

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