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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)