86 citations · 541 across the 33 of their papers we have counts for
Showing 1999Show all
2 papers · 1 filter
patt-sol1999
Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows
Yuji Igarashi, Katsumi Itoh, Ken Nakanishi +2
In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable…
patt-sol1999★ 14 cited
Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models
Yuji Igarashi, Katsmi Itoh, Ken Nakanishi +2
A system of first-order differential-difference equations with time lag describes the formation of density waves, called as quasi-solitons for dissipative systems in this paper. Fo…