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Research PapersNo Access

Theoretical analysis of bifurcations in a microscopic traffic model accounting for optimal velocity

MOE Key Laboratory for Urban Transportation, Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China

E-mail Address: yuqingw@mail.ustc.edu.cn

Corresponding authors.

Both authors contribute equally to this work.

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

Both authors contribute equally to this work.

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China

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MOE Key Laboratory for Urban Transportation, Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

E-mail Address: bjia@bjtu.edu.cn

Corresponding authors.

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MOE Key Laboratory for Urban Transportation, Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

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https://doi.org/10.1142/S021798491750244XCited by:29 (Source: Crossref)

Abstract

In this paper, a modified microscopic traffic flow model accounting for the optimal velocity has been proposed. Different with previous models, drivers’ response ability and the maximum of accelerations are considered in the term of the optimal velocity. The effect of parameters in the term of the optimal velocity on bifurcations in the rotary traffic is studied here. Besides, the evolvement of bifurcations in the system is calculated by performing numerical simulation experiments. Moreover, the linear stability analysis of the proposed model is presented.

Keywords:

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Vol. 31, No. 27

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History

Received 4 April 2017

Revised 16 May 2017

Accepted 5 June 2017

Published: 18 July 2017

Keywords