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Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
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Modeling a bus through a sequence of traffic lights.
Jorge Villalobos1, Víctor Muñoz2, José Rogan2
1Facultad de Ciencias Naturales y Matemáticas, Universidad de Ibagué, Ibagué, Colombia.
Chaos (Woodbury, N.Y.)
|August 3, 2015
Summary
This study models bus travel through traffic lights, revealing chaotic dynamics in realistic city traffic. Chaos emerges when braking capacity exceeds accelerating capacity by a factor of three.
Area of Science:
- Traffic flow dynamics
- Nonlinear systems analysis
- Urban transportation modeling
Background:
- Buses must stop for passengers, complicating traffic flow models.
- Realistic urban traffic parameters can lead to complex system behaviors.
Purpose of the Study:
- To model a bus navigating traffic lights with passenger stops.
- To investigate the emergence of non-trivial and chaotic behaviors in this system.
- To define conditions leading to chaotic dynamics.
Main Methods:
- Constructed a two-dimensional model (velocity, time) for traffic light interactions.
- Analyzed fixed points and period-2 orbits analytically and numerically.
- Determined regions of chaos using the maximum Lyapunov exponent.
Main Results:
- The bus traffic light model exhibits non-trivial and chaotic behaviors.
- Chaos arises under specific parameter constraints, particularly the ratio of braking to accelerating capacities.
- Positive maximum Lyapunov exponents indicate chaotic regions.
Conclusions:
- Chaos in bus traffic systems is linked to the ratio of braking/accelerating capacities.
- A capacity ratio greater than approximately 3 suggests the onset of chaos.
- The model provides insights into complex dynamics in urban transportation.
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