Cellular automata and ultra-discrete Painlevé equations

DOI10.1016/S0375-9601(96)00934-6zbMath0962.82527arXivsolv-int/9603003MaRDI QIDQ5918015

Alfred Ramani, Yasuhiro Ohta, Basile Grammaticos, Daisuke A. Takahashi, K. M. Tamizhmani

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9603003

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Discrete version of topics in analysis (39A12)

Related Items

Tropical Weyl group action via point configurations and \(\tau\)-functions of the \(q\)-Painlevé equations ⋮ Tropical limit and a micro-macro correspondence in statistical physics ⋮ On a novel \(q\)-discrete analogue of the Painlevé VI equation ⋮ Rational solutions for the discrete Painlevé II equation. ⋮ An ultradiscrete matrix version of the fourth Painlevé equation ⋮ From integrability to chaos in a Lotka-Volterra cellular automaton ⋮ Ultradiscrete bifurcations for one dimensional dynamical systems

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• Discrete versions of the Painlevé equations
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