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The time-dependent Ginzburg–Landau equation for car-following model considering anticipation-driving behavior

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Abstract

In this paper, a car-following model considering anticipation-driving behavior is considered to describe the traffic jam. The nature of the model is investigated using linear and nonlinear analysis method. A thermodynamic theory is formulated for describing the phase transitions and critical phenomena, and the time-dependent Ginzburg–Landau equation is derived to describe traffic flow near the critical point.

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Acknowledgments

Project supported by the National Natural Science Foundation of China (Grant Nos.11072117 and 61074142), the Natural Science Foundation of ZheJiang Province (Grant No.Y13A010029), Disciplinary Project of Ningbo, China (Grant No. SZXL1067), and K. C.Wong Magna Fund in Ningbo University

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Authors and Affiliations

  1. Faculty of Maritime and Transportation, Ningbo University, Ningbo, 315211, China

    Hong-Xia Ge & Peng-Jun Zheng

  2. Faculty of Science, Ningbo University, Ningbo, 315211, China

    Feng Lv

  3. Department of fundamental course, Ningbo Institute of Technology, Zhejiang University, Ningbo, 315100, China

    Rong-Jun Cheng

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  1. Hong-Xia Ge
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  2. Feng Lv
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  3. Peng-Jun Zheng
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  4. Rong-Jun Cheng
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Correspondence to Rong-Jun Cheng.

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Ge, HX., Lv, F., Zheng, PJ. et al. The time-dependent Ginzburg–Landau equation for car-following model considering anticipation-driving behavior. Nonlinear Dyn 76, 1497–1501 (2014). https://doi.org/10.1007/s11071-013-1223-y

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  • DOI: https://doi.org/10.1007/s11071-013-1223-y

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