Singularity confinement test for ultradiscrete equations with parity variables

DOI10.1088/1751-8113/42/31/315206zbMath1178.65144OpenAlexW1975590886MaRDI QIDQ3648993

Mikio Murata, Junkichi Satsuma, Shin Isojima, Naoyuki Mimura

Publication date: 1 December 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/31/315206

zbMATH Keywords

rational difference equationssingularity confinementultradiscrete equationsultradiscretization method

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Multiplicative and other generalized difference equations (39A20) Numerical methods for difference equations (65Q10)

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Ultradiscrete analogue of the van der Pol equation ⋮ On exact solutions with periodic structure of the ultradiscrete Toda equation with parity variables ⋮ Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables ⋮ Ultradiscrete hard-spring equation and its phase plane analysis ⋮ Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Unnamed Item ⋮ Linearisable ultradiscrete systems with sign variables and the confinement of singularities ⋮ Ultradiscrete analogues of the hard-spring equation and its conserved quantity ⋮ Rule 184 fuzzy cellular automaton as a mathematical model for traffic flow ⋮ Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion? ⋮ Nonlinear Kalman filtering via ultradiscretization procedure

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