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Linear chaos for the Quick-Thinking-Driver model
dc.contributor.author | Conejero, J. Alberto | |
dc.contributor.author | murillo arcila, marina | |
dc.contributor.author | Seoane Sepúlveda, Juan | |
dc.date.accessioned | 2016-12-07T10:48:01Z | |
dc.date.available | 2016-12-07T10:48:01Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | CONEJERO, J. Alberto; MURILLO-ARCILA, Marina; SEOANE-SEPÚLVEDA, Juan B. Linear chaos for the Quick-Thinking-Driver model. Semigroup forum, 2016, vol. 92, no 2. p. 486-493. | ca_CA |
dc.identifier.issn | 0037-1912 | |
dc.identifier.issn | 1432-2137 | |
dc.identifier.uri | http://hdl.handle.net/10234/164931 | |
dc.description.abstract | In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http://en.wikipedia.org/wiki/Google_driverless_car). Driving models which describe the interaction between adjacent vehicles in the same lane have a big interest in simulation modeling, such as the Quick-Thinking-Driver model. A non-linear version of it can be given using the logistic map, and then chaos appears. We show that an infinite-dimensional version of the linear model presents a chaotic behaviour using the same approach as for studying chaos of death models of cell growth. | ca_CA |
dc.description.sponsorShip | The authors were supported by a grant from the FPU program of MEC and MEC Project MTM2013-47093-P. | ca_CA |
dc.format.extent | 8 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Semigroup forum, 2016, vol. 92, no 2 | ca_CA |
dc.rights | © Springer | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | death model | ca_CA |
dc.subject | birth-and-death problem | ca_CA |
dc.subject | car-following | ca_CA |
dc.subject | Quick-Thinking-Driver | ca_CA |
dc.subject | Devaney chaos | ca_CA |
dc.subject | distributional chaos | ca_CA |
dc.subject | C0-semigroups | ca_CA |
dc.title | Linear chaos for the Quick-Thinking-Driver model | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s00233-015-9704-6 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s00233-015-9704-6 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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