Ultradiscrete analogue of the van der Pol equation

DOI10.1088/1361-6544/ac4a8czbMath1495.37015OpenAlexW4212915720MaRDI QIDQ5036278

Shin Isojima, Seiichiro Suzuki

Publication date: 23 February 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac4a8c

zbMATH Keywords

limit cyclecellular automatonultradiscretization

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15) Periodic solutions of difference equations (39A23)

Related Items (4)

Poincaré map approach to limit cycles of a simplified ultradiscrete Sel'kov model ⋮ Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: One dimensional cases ⋮ Ultradiscrete hard-spring equation and its phase plane analysis ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Ultradiscrete analogues of the hard-spring equation and its conserved quantity
• Ultradiscrete Painlevé VI with parity variables
• Ultradiscrete bifurcations for one dimensional dynamical systems
• When is negativity not a problem for the ultradiscrete limit?
• Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
• How to discretize differential systems in a systematic way
• Singularity confinement test for ultradiscrete equations with parity variables
• Discrete versions of the Painlevé equations
• Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
• Ultradiscretization without positivity

This page was built for publication: Ultradiscrete analogue of the van der Pol equation