2 papers
nlin.CG2009
A hybrid of the optimal velocity and the slow-to-start models and its ultradiscretization
Kazuhito Oguma, Hideaki Ujino
Through an extension of the ultradiscretization for the optimal velocity (OV) model, we introduce an ultradiscretizable traffic flow model, which is a hybrid of the OV and the slow…
nlin.SI2007★ 1 cited
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of mo…