2 citations · 2 across the 1 of their papers we have counts for
3 papers
nlin.AO2008★ 2 cited
On a discrete optimal velocity model and its continuous and ultradiscrete relatives
Daisuke Takahashi, Junta Matsukidaira
We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a pie…
nlin.AO2000
A family of multi-value cellular automaton model for traffic flow
Katsuhiro Nishinari, Daisuke Takahashi
A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. The family is obtained by extending the rule-184 CA, which is an ultradiscr…
solv-int1999
On integrability test for ultradiscrete equations
Daisuke Takahashi, Kenji Kajiwara
We consider an integrability test for ultradiscrete equations based on the singularity confinement analysis for discrete equations. We show how singularity pattern of the test is t…