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Memorias de investigación
Communications at congresses:
Stability of the equilibrium state for a nonlinear car-following model with reaction delay
Year:2014
Research Areas
  • Mathematics
Information
Abstract
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.
International
Si
Congress
5th IberianMathematical Meeting 5IMM, 2014
960
Place
Aveiro (Portugal)
Reviewers
Si
ISBN/ISSN
00-0000-0000
Start Date
03/10/2014
End Date
06/10/2014
From page
1
To page
20
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Participants
  • Autor: Alfonso Carlos Casal Piga (UPM)
  • Autor: Juan Francisco Padial Molina (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Matemática Aplicada
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