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Título:
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Distributional chaos for the Forward and Backward Control traffic model
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Autores:
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Barrachina, X. ;
Conejero, J. A. ;
Murillo Arcila, M. ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2015-08
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Artículo
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Resumen:
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The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery model were already known to be chaotic. We consider the linear Forward and Backward Control traffic model for an infinite number of cars on a track. We show the existence of solutions with a chaotic behaviour by using some results of linear dynamics of C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions.
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En línea:
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https://eprints.ucm.es/id/eprint/32513/1/Seoane214abierto.pdf
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