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一类新的交通流跟驰模型的倍周期分岔与混沌
引用本文:周伟,林志敏,褚衍东,俞建宁.一类新的交通流跟驰模型的倍周期分岔与混沌[J].甘肃科学学报,2008,20(4).
作者姓名:周伟  林志敏  褚衍东  俞建宁
作者单位:1. 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070
2. 兰州交通大学,机电工程学院,甘肃,兰州,730070
基金项目:国家自然科学基金,甘肃省自然科学基金,教育部高等学校博士学科点专项科研基金
摘    要:为了分析交通流混沌的转化机理,建立了一类新的交通流跟驰模型,并分析了模型的动力学行为.数值模拟结果表明,在这一新的跟驰模型产生的交通流中存在倍周期分岔和混沌.而且系统在经过倍周期分岔进入混沌的过程中,存在跳跃现象,特别是在某些参数下,存在跳跃现象的倍周期分岔还具有一定的周期性,是首次得到的结果.

关 键 词:交通流  跟驰模型  倍周期分岔  混沌

The Period-Doubling Bifurcation and Chaos in a New Car-following Model of Traffic Flow
ZHOU Wei,LIN Zhi-min,CHU Yan-dong,YU Jian-ning.The Period-Doubling Bifurcation and Chaos in a New Car-following Model of Traffic Flow[J].Journal of Gansu Sciences,2008,20(4).
Authors:ZHOU Wei  LIN Zhi-min  CHU Yan-dong  YU Jian-ning
Institution:1.School of Mathematics;Physics and Software Engineering;Lanzhou Jiaotong University;Lanzhou 730070;China;2.College of Mechanical and Electrical Engineering;China
Abstract:In order to analyze the formation mechanism of chaos in traffic flow,the model of a new car-following model in traffic flow theory is proposed and the dynamical behavior of the model is analyzed.The numerical results show that period-doubling bifurcation and chaos exist in the traffic flow arise from the new car-following model.A phenomenon of jump occurs while bifurcating through a route of period-doubling bifurcation.And the special bifurcation takes some periodicity at some special parameters,which is a ...
Keywords:traffic flow  car-following model  period-doubling bifurcation  chaos  
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