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Memorias de investigación
Ponencias en congresos:
Stability of the equilibrium state for a nonlinear car-following model with reaction delay
Año:2014
Áreas de investigación
  • Matemáticas
Datos
Descripción
We propose a general model for car-following traffic on a single lane. For a number of reasons, the acceleration is assumed to be a sigmoidal function of the distance between the cars and of the speed difference. We assume that the car following the leader is in an equilibrium state when there is no speed differential with the leading car, and when it follows it at the safe minimum distance. Taking into account the driver's reaction time, the resulting model is a functional differential equation. We study the stability of the equilibrium state by investigating the location of the roots of the quasi-characteristic equation. We carry out both numerical and graphical simulations, and use a continuation method to get the variation of these roots as the parameters change whithin some ranges of values. This gives us regions of values of the parameters for which the equilibrium solution changes its stability giving rise, eventually, to some kind of periodic solutions.
Internacional
Si
Nombre congreso
5th IberianMathematical Meeting 5IMM, 2014
Tipo de participación
960
Lugar del congreso
Aveiro (Portugal)
Revisores
Si
ISBN o ISSN
00-0000-0000
DOI
Fecha inicio congreso
03/10/2014
Fecha fin congreso
06/10/2014
Desde la página
1
Hasta la página
20
Título de las actas
-
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Alfonso Carlos Casal Piga (UPM)
  • Autor: Juan Francisco Padial Molina (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Matemática Aplicada
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