Modeling a bus through a sequence of traffic lights
Author
dc.contributor.author
Villalobos, Jorge
Author
dc.contributor.author
Muñoz, Víctor
Author
dc.contributor.author
Rogan Castillo, José
Author
dc.contributor.author
Zarama, Roberto
Author
dc.contributor.author
Penagos, Juan Felipe
Author
dc.contributor.author
Toledo Cabrera, Benjamín
Author
dc.contributor.author
Valdivia Hepp, Juan
Admission date
dc.date.accessioned
2015-10-29T19:48:31Z
Available date
dc.date.available
2015-10-29T19:48:31Z
Publication date
dc.date.issued
2015
Cita de ítem
dc.identifier.citation
CHAOS 25, 073117 (2015)
en_US
Identifier
dc.identifier.other
DOI: 10.1063/1.4926669
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/134768
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
We propose a model of a bus traveling through a sequence of traffic lights, which is required to stop between the traffic signals to pick up passengers. A two dimensional model, of velocity and traveled time at each traffic light, is constructed, which shows non-trivial and chaotic behaviors for realistic city traffic parameters. We restrict the parameter values where these non-trivial and chaotic behaviors occur, by following analytically and numerically the fixed points and period 2 orbits. We define conditions where chaos may arise by determining regions in parameter space where the maximum Lyapunov exponent is positive. Chaos seems to occur as long as the ratio of the braking and accelerating capacities are greater than about similar to 3.