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Chaos theorists study complex behavior that seems random but
actually has some hidden order.The motion of road traffic can be
considered as a dynamic system, at a microscopic level,the
systen can be described in terms of variables such as the
position and velocity of each vehicle.The motion of a line of
vehicles on a crowded road link without overtaking is described
by the car-following model;in this thesis,we choose three
different car-following models to analysistheir nonlinear
behavior and the chaotic behavior.
First,we describes chaotic behavior and briefly discusses the
methodology of the algorithm used to analysis the chaotic
behavior;secondly,we analysis the stability problem of the
car-following models,from the result of our study,the reaction
time play a key role in the car-following models;thirdly,we test
the car-following models of chaotic behavior by calculating the
Lyapunov exponents from the car-following models and computed
their Poincare maps.We found that, for certain parameter
values(m=0,l>=2;or l=0),a regular periodic perturbation to the
equilibrium state of the GM car-following model generated
chaotic oscillations.
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