Chaotic jam and phase transitions in heterogeneous lattice model integrating the delay characteristics difference with passing effect under autonomous and human-driven vehicles environment
Chaotic jam and phase transitions in heterogeneous lattice model integrating the delay characteristics difference with passing effect under autonomous and human-driven vehicles environment
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DOI：
10.1016/j.chaos.2023.114252
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发表时间：
2023-12
期刊：
影响因子：
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通讯作者：
Guanghan Peng;Wanlin Wang;Huili Tan
中科院分区：
文献类型：
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作者：
Guanghan Peng;Wanlin Wang;Huili Tan
在异构交通流中，不同类型车辆的响应时延存在差异。因此，针对包括自动驾驶车辆和人类驾驶车辆的混合交通流创建了异构点阵模型，考虑了延迟差异特性和通过效应。线性稳定性分析得到中性稳定条件，表明系统的稳定区域随着通行效果、常规车辆比例和反应时间系数的增加而显着减小。通过非线性分析推断出修正的 Korteweg-de Vries 方程的扭结-反扭结解。堵塞转变发生在扭结堵塞和无堵塞区域之间，通过效果较低。当通过效应增加到临界值时，在扭结堵塞和无堵塞区域之间出现混沌堵塞区域。并且混沌堵塞区域进一步扩大，通过效果更高。此外，仿真实验表明，在异构交通流中，随着延迟时间的降低，交通稳定性变得更好。同时，通过庞加莱相图和李亚普诺夫指数，在异质格模型中研究了混沌现象的影响因素，包括通行效应、延误时间和常规车辆比例。
In heterogeneous traffic flow, the response delay of different types' vehicles varies. Accordingly, a heterogeneous lattice model is created for the mixed traffic flows including autonomous vehicles and human-driven vehicles accounting for the delay difference characteristics with the passing effect. The neutral stability condition is acquired from the linear stability analysis, which shows that the stability region of the system significantly decreases with the increase of the passing effect, the proportion of regular vehicles and the reaction time coefficient. The kink-antikink solution of the modified Korteweg-de Vries equation is inferred via nonlinear analysis. The jamming transitions occur between the kink jam and no jam regions with lower passing effect. When the passing effect increases to a critical value, a chaotic jam region appears between the kink jam and no jam regions. And the chaotic jam region further expands with higher passing effect. Moreover, simulation experiments indicate that traffic stability gets better with the delayed time falling down in heterogeneous traffic flow. Also, the impact factors of chaos phenomenon, including the passing effect, the delayed time and proportion of regular vehicles, are investigated in heterogeneous lattice model through Poincaré phase diagram and Lyapunov exponent.