45 citations · 441 across the 39 of their papers we have counts for
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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…
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…
Max-min-plus expressions for one-dimensional particle cellular automata obtained from a fundamental diagram
Takazumi Okumura, Junta Matsukidaira, Daisuke Takahashi
We study one-dimensional neighborhood-five conservative cellular automata (CA), referred to as particle cellular automata five (particle CA5). We show that evolution equations for…