1. Modeling a bus through a sequence of traffic lights.
- Author
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Villalobos, Jorge, Muñoz, Víctor, Rogan, José, Zarama, Roberto, Penagos, Juan Felipe, Toledo, Benjamín, and Valdivia, Juan Alejandro
- Subjects
TRAFFIC flow ,TRAFFIC signs & signals ,VELOCITY ,CHAOS theory ,CITY traffic ,LYAPUNOV exponents ,ACCELERATION (Mechanics) ,MATHEMATICAL models - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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