A new deterministic CA model for traffic flow with multiple states

Katsuhiro Nishinari*, Daisuke Takahashi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)93-104
Number of pages12
JournalJournal of Physics A: Mathematical and General
Issue number1
Publication statusPublished - 1999 Jan 8

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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