汽车跟随模型中驾驶员特征的分岔分析

IF 1.9 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Sunita Yadav, Poonam Redhu
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引用次数: 0

摘要

根据交通流理论,交通不仅受道路条件如瓶颈、环境、中断等因素的影响,还受驾驶员行为的影响。为了控制和管理日益复杂的交通网络,有必要对驾驶员特征的影响进行深入研究。本文提出了一种新的汽车跟随模型,该模型同时考虑了驾驶员的谨慎性和攻击性本能,以求最优速度积分和相对速度积分。为了分析新模型的稳定性,采用了小摄动法。进一步,利用约化微扰法建立了修正的Korteweg-de Vries方程。在分岔分析中,我们研究了各种系统的Hopf分岔的存在性和稳定性。这有助于深入了解这些动力系统的行为,并可用于开发更有效的控制策略。数值模拟和理论分析均表明,增强模型中与驾驶员特征相关的方面对交通流的稳定性有重要影响。此外,该模型可以熟练地处理交通拥堵,并在发生任何中断时迅速恢复到正常状态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bifurcation Analysis Of Driver's Characteristics In Car-Following Model
According to traffic flow theory, traffic is affected not only by road conditions such as bottlenecks, the environment, interruptions, and so on but also by the driver's behavior. To control and manage increasingly complex traffic networks, it also becomes necessary to study the effects of driver characteristics significantly. In this research, a novel car-following model is proposed which considers both the driver's cautious and aggressive instincts for optimal and relative velocity integrals. To analyze the stability of the new model, a small perturbation method was used. Further, the modified Korteweg-de Vries equations were established with the help of a reductive perturbation method. In bifurcation analysis, we examine the existence and stability of Hopf bifurcation in various systems. This helps to gain deeper insight into the behavior of these dynamical systems and can be used to develop more efficient control strategies. Numerical simulations and theoretical analyses both show that the aspects of the enhanced model related to driver characteristics have a major effect on traffic flow stability. Additionally, the model can adeptly handle traffic congestion and quickly return to its normal state if any disruption occurs.
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来源期刊
CiteScore
4.00
自引率
10.00%
发文量
72
审稿时长
6-12 weeks
期刊介绍: The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.
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