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    Nonlinear Analysis of Road Traffic Flows in Discrete Dynamical System

    Source: Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002::page 21206
    Author:
    Meng Xu
    ,
    Ziyou Gao
    DOI: 10.1115/1.2833905
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, we investigate the dynamic behavior of road traffic flows and study if chaotic phenomena exist in a traffic flow dynamic system. Two discrete dynamic models are proposed, which are derived from Del Castillo and Benitez’s exponential curve model and maximum sensitivity curve model. Both models have two parameters, which are the ratio of free flow and spacing average speed and the ratio of the absolute value of kinematic wave speed at jam density and the free flow speed. Chaos is found in the two models when the two values increase separately. The Lyapunov exponents and fractal dimension were used to examine the characters of the chaos in the two models.
    keyword(s): Flow (Dynamics) , Traffic , Dimensions , Density , Dynamic systems , Fractals , Chaos AND Waves ,
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      Nonlinear Analysis of Road Traffic Flows in Discrete Dynamical System

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    http://yetl.yabesh.ir/yetl1/handle/yetl/137563
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    contributor authorMeng Xu
    contributor authorZiyou Gao
    date accessioned2017-05-09T00:27:11Z
    date available2017-05-09T00:27:11Z
    date copyrightJanuary, 2008
    date issued2008
    identifier issn1555-1415
    identifier otherJCNDDM-24916#021206_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137563
    description abstractIn this paper, we investigate the dynamic behavior of road traffic flows and study if chaotic phenomena exist in a traffic flow dynamic system. Two discrete dynamic models are proposed, which are derived from Del Castillo and Benitez’s exponential curve model and maximum sensitivity curve model. Both models have two parameters, which are the ratio of free flow and spacing average speed and the ratio of the absolute value of kinematic wave speed at jam density and the free flow speed. Chaos is found in the two models when the two values increase separately. The Lyapunov exponents and fractal dimension were used to examine the characters of the chaos in the two models.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Analysis of Road Traffic Flows in Discrete Dynamical System
    typeJournal Paper
    journal volume3
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.2833905
    journal fristpage21206
    identifier eissn1555-1423
    keywordsFlow (Dynamics)
    keywordsTraffic
    keywordsDimensions
    keywordsDensity
    keywordsDynamic systems
    keywordsFractals
    keywordsChaos AND Waves
    treeJournal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002
    contenttypeFulltext
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