Ultradiscrete hard-spring equation and its phase plane analysis

DOI10.1007/s13160-023-00568-9zbMath1530.37030OpenAlexW4320914575MaRDI QIDQ6104297

Shin Isojima, Seiichiro Suzuki

Publication date: 28 June 2023

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-023-00568-9

zbMATH Keywords

oscillatorcellular automatonphase planeultradiscretization

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of cellular automata (37B15) Dynamical systems in optimization and economics (37N40) Periodic solutions of difference equations (39A23)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Ultradiscrete analogues of the hard-spring equation and its conserved quantity
• Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables
• Ultradiscrete Painlevé VI with parity variables
• Ultradiscrete Painlevé II equation and a special function solution
• When is negativity not a problem for the ultradiscrete limit?
• Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
• Singularity confinement test for ultradiscrete equations with parity variables
• Ultradiscrete analogue of the van der Pol equation
• Multidimensional traveling waves in the Allen–Cahn cellular automaton
• GEOMETRICAL DYNAMICS OF AN INTEGRABLE PIECEWISE-LINEAR MAPPING

This page was built for publication: Ultradiscrete hard-spring equation and its phase plane analysis