基于Logistic映射的交通流的混沌态研究
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摘要
由密度K-速度v的线形模型,导出Logistic映射的差分方程,讨论映射下的交通流及混沌态的有关理论;用Lyapunov指数进一步阐明Logistic映射下的交通流特性;最后从混沌交通流的熵给出混沌程度量的大小
From linear model of density K-speed v, authors gain difference equat ion of Logistic mapping and discuss theory of traffic flow under the condition o f Logistic Mapping, then using Lyapunov exponents to further explain character o f traffic flow under the same condition, finally give the big or little capacit y of choas′ state through entropy of choas′ state of traffic flow.
From linear model of density K-speed v, authors gain difference equat ion of Logistic mapping and discuss theory of traffic flow under the condition o f Logistic Mapping, then using Lyapunov exponents to further explain character o f traffic flow under the same condition, finally give the big or little capacit y of choas′ state through entropy of choas′ state of traffic flow.
引文
1 徐吉谦.交通工程总论.北京:人民交通出版社,1991.26～29
2 饭田恭敬.交通工程学.北京:人民交通出版社,1993.136～141
3 高安秀树.分数维.北京:地震出版社,1989.80～89
4 卢 侃,孙建华.混沌动力学.上海:上海翻译公司,1990,329～339
5 MikaelBask.Dimensions andLyapunov exponentsform exchange rate series,Chaos,Solution&Fractal,1996,7(12):2199～2214
6 Warfild.J N.Twenty laws of complexity:scienceapplicable in organizations,Systems.Research andBehavioralScience,1999,16:3～40
2 饭田恭敬.交通工程学.北京:人民交通出版社,1993.136～141
3 高安秀树.分数维.北京:地震出版社,1989.80～89
4 卢 侃,孙建华.混沌动力学.上海:上海翻译公司,1990,329～339
5 MikaelBask.Dimensions andLyapunov exponentsform exchange rate series,Chaos,Solution&Fractal,1996,7(12):2199～2214
6 Warfild.J N.Twenty laws of complexity:scienceapplicable in organizations,Systems.Research andBehavioralScience,1999,16:3～40
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