Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756169 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 11 Pages |
Abstract
A discrete time model for car following behaviour is investigated. It is found that the model can be expressed in the form of a logistic map with multiple control parameter values. The case where the logistic map has a bi-value control parameter is investigated and relevant Feigenbaum diagrams are presented and the behaviour of the Lyapunov exponent is investigated. Divergent behaviour in the chain of vehicles is also considered.
Keywords
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Mark McCartney,