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Phase diagrams in unidirectionally coupled map lattice for open traffic flow
Institution:1. Department of Bioengineering, Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan;2. Department of Electrical Engineering and Information Systems, Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan;1. School of Innovation, Design and Engineering, Mälardalen University, SE-72123 Västerås, Sweden;2. Future Energy Center, School of Business, Society and Engineering, Mälardalen University, SE-72123 Västerås, Sweden;3. Mälarenergi AB, Sjöhagsvägen 3, Västerås 721 03, Sweden;4. RISE SICS Västerås, Stora Gatan 36, Västerås 722 12, Sweden;5. State Institute of Higher Education \"Guglielmo Marconi\", 24044, Dalmine, Italy
Abstract:The jamming transition from the free traffic to the oscillatory traffic is investigated with the unidirectionally coupled map lattice model which has the hyperbolic tangent local map. Spatio-temporal structures in the jamming transition are found with the use of numerical simulation. The traffic states are studied for both constant and noisy boundary conditions. We show the phase diagrams of different kinds of congested traffic. It is found that the noise at the boundary has an important effect on the traffic states. The traffic behavior in the coupled map lattice model exhibits a jamming transition similar to that found in the car-following model.
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