TY  - JOUR
PY  - 2015//
TI  - Modeling a bus through a sequence of traffic lights
JO  - Chaos, solitons and fractals
A1  - Villalobos, Jorge
A1  - Muñoz, Víctor
A1  - Rogan, José
A1  - Zarama, Roberto
A1  - Penagos, Juan Felipe
A1  - Toledo, Benjamín
A1  - Valdivia, Juan Alejandro
SP  - 073117
EP  - 073117
VL  - 25
IS  - 7
N2  - 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.<p />  <p>Language: en</p>
LA  - en
SN  - 0960-0779
UR  - http://dx.doi.org/10.1063/1.4926669
ID  - ref1
ER  -