Phase transitions and critical phenomena are investigated in the two-dimensional traffic flow on the triangular lattice numerically and analytically. The two-dimensional traffic model on the square lattice is extended to the traffic flow on the triangular lattice where the three roads cross on a...

We investigate the spatiotemporal dynamics with mixing degrees of nonlinear chaotic maps in coupling connections. Here, the coupling methods between lattices are both linear neighborhood coupling and the nonlinear chaotic map coupling of lattices. While strictly nearest neighborhood coupling is...

We study the connection between the appearance of a ‘metastable’ behaviour of weakly chaotic orbits, characterized by a constant rate of increase of the Tsallis q-entropy [C. Tsallis, Possible generalization of Boltzmann–Gibbs Statistics, Journal of Statistical Physics 52 (1988)...

We investigate the dynamic behavior of shuttle buses when passengers switch to another bus B on route B from bus A on route A. By switching from bus A to bus B, the outflow of passengers from route A (inflow of passengers into route B) changes to the periodic inflow of a square wave. The...

We study the effect of continuous speedup on the dynamical behavior of a single shuttle bus. We present a nonlinear map model of a shuttle bus to take into account the continuous speedup. When the shuttle bus is delayed, the bus speeds up continuously to overcome the delay. If the shuttle bus...

Most existing social learning models assume that there is only one underlying true state. In this work, we consider a social learning model with multiple true states, in which agents in different groups receive different signal sequences generated by their corresponding underlying true states....