138 citations · 311 across the 17 of their papers we have counts for
17 papers
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Hideaki Ujino, Tetsu Yajima
The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretizati…
Exact Solutions and Flow--Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect
Hideaki Ujino, Tetsu Yajima
A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flo…
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…
Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
Tetsu Yajima, Hideaki Ujino
Stochastic processes associated with traveling wave solutions of the sine-Gordon equation are presented. The structure of the forward Kolmogorov equation as a conservation law is e…
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…
A Super-Integrable Discretization of the Calogero Model
Hideaki Ujino, Luc Vinet, Haruo Yoshida
A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to th…