20 citations · 31 across the 5 of their papers we have counts for
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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…
cond-mat.other2008★ 20 cited
Absence of Anomalous Tunneling of Bogoliubov Excitations for Arbitrary Potential Barrier under the Critical Condensate Current
Daisuke Takahashi, Yusuke Kato
We derive the exact solution of low energy limit of Bogoliubov equations for excitations of Bose-Einstein condensate in the presence of arbitrary potential barrier and maximum curr…