Max–min-plus expressions for one-dimensional particle cellular automata obtained from a fundamental diagram

DOI10.1088/1751-8113/46/29/295101zbMath1271.68160arXiv1303.4045OpenAlexW3104786103MaRDI QIDQ2843744

Takazumi Okumura, Junta Matsukidaira, Daisuke A. Takahashi

Publication date: 26 August 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4045

zbMATH Keywords

asymptotic behaviorevolution equationsgeneral solutionsparticle motionLagrange representationmax-min-plus expressionsone-dimensional particle cellular automataultradiscrete Cole-Hopf transformations

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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