✦ LIBER ✦

A discrete time car following model and the bi-parameter logistic map

✍ Scribed by Mark McCartney

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 664 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2007.06.012

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✦ Synopsis

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.