Citation

Villalobos J, Muñoz V, Rogan J, Zarama R, Penagos JF, Toledo B, Valdivia JA. Chaos Solitons Fractals 2015; 25(7): 073117.

Affiliation

Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile.

Copyright

(Copyright © 2015, Elsevier Publishing)

DOI

10.1063/1.4926669

PMID

26232968

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 ∼3.

Language: en