TY - JOUR
T1 - A new deterministic CA model for traffic flow with multiple states
AU - Nishinari, Katsuhiro
AU - Takahashi, Daisuke
PY - 1999/1/8
Y1 - 1999/1/8
N2 - In this paper, an ultra-discrete version of Burger's equation, which includes the rule-184 CA model, is extended to treat a higher velocity. The extended model has multiple states at the transition region of car density from free to congested phase in the fundamental diagram. The state of free phase at high density is unstable under perturbation, and its stability is discussed in detail.
AB - In this paper, an ultra-discrete version of Burger's equation, which includes the rule-184 CA model, is extended to treat a higher velocity. The extended model has multiple states at the transition region of car density from free to congested phase in the fundamental diagram. The state of free phase at high density is unstable under perturbation, and its stability is discussed in detail.
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U2 - 10.1088/0305-4470/32/1/010
DO - 10.1088/0305-4470/32/1/010
M3 - Article
AN - SCOPUS:0033534271
VL - 32
SP - 93
EP - 104
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 1
ER -