45 citations · 441 across the 39 of their papers we have counts for
40 papers
Analytical derivation of a three-dimensional fundamental diagram for a real-valued max-plus particle system
Daisuke Takahashi, Junta Matsukidaira, Kazuya Okamoto
We study a real-valued max-plus particle system on a finite periodic lattice. Its three-dimensional fundamental diagram relates the mean flow to two densities: the conserved partic…
Three-dimensional Fundamental Diagrams of Five-neighbor Particle Cellular Automata
Kazuya Okamoto, Daisuke Takahashi
We analyze five-neighbor particle cellular automata whose conventional two-dimensional fundamental diagrams are multivalued, but whose mean flow is uniquely determined by introduci…
Multi-soliton solutions of the sine-Gordon equation with elliptic-function background
Daisuke A. Takahashi
The multi-soliton solution of the sine-Gordon equation in the presence of elliptic-function background is derived by the inverse scattering method. The key tool in our formulation…
Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38
Ko Yamamoto, Daisuke Takahashi
Fuzzy cellular automaton is a dynamical system with a continuous state value embedding a cellular automaton with a discrete state value. We investigate a fuzzy cellular automaton o…
Three-dimensional fundamental diagram of particle system of 5 neighbors with two conserved densities
Kazushige Endo, Daisuke Takahashi
We discuss a particle system of 5 neighbors with two independent conserved densities. The mean momentum uniquely depends on a pair of the densities and a three-dimensional fundamen…
Lattice equations and their solutions with complexity of polynomial class
Soujun Kitagawa, Daisuke Takahashi
We discuss initial value problems for time evolution equations in one dimensional space which are expressed by the lattice operators and propose some new equations to which complex…