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Chaos in Transit Systems

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    Chaos in transit Systems is a work in progress inspired by the every-day experiences people face when driving through the city. Why is it that traveling times between the same locations can vary so much for different drivers that start their travel at nearly the same time Or why is it that, during a traffic jam, the car in the line next to us suddenly gains a huge advantage, but it sometimes lags very far behind Common wisdom tells us that the answer to these questions must be found in the behavior of drivers. But what if this chaotic behavior were a part of the system In this thesis, three simple traffic models are presented, and it is argued that chaos -understood as high sensitivity to initial conditions - is a part of all transit systems. 

    Atributos LU

    Tamaño (Físico)17 x 24 cm
    Peso (Físico)280
    Núm. Páginas150
    Año de Edición2011
    ISXN9789586956086
    TipoLibro
    Tabla de ContenidoAcknowledgements
    Abstract
    Contents
    List of Figures
    List of Tables
        
    1. Introduction

    2. On Chaos
    2.1. Maps     
    2.2. Bifurcation diagrams             
    2.3. Lyapunov Exponents                         
    2.4. Lyapunov 2D Diagrams                             
    2.5. Summary                         

    3. Simple Traffic Model: Car
    3.1 Traffic Models: Brief Review     
    3.2. Car Model         
    3.3. Numeric Simulations     
    3.4. Symbolic Results     
    3.5. Chaos in Parameter Space and Scaling Laws     
    3.6. Green Wave Effect
    3.7. Summary     

    4. Simple Traffic Model: Bus
    4.1. Bus Models: a Short Review     
    4.2. The Variants of the Bus Model     
    4.2.1. Model with ᵡs1 and ᵡs2 Fixed (a _ Variable)
    4.2.2. Model with a_ Fixed         
    4.2.3. Normalization         
    4.3. Numeric Simulations         
    4.4. Symbolic Results             
    4.5. Chaos in Parameter Space, Model Comparison         
    4.6. Creen Wave Effect                             
    4.7. Summary     
                        
    5. Conclusions                                             
    A. Map construction, Car model  
    B. Map Construction, Bus Model                 

    B.1. a _ Fixed Map                         
    B.2. a _ Variable Map         

    Bibliography    
    AutorJorge Villalobos
    TítuloChaos in Transit Systems

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