Elementary exact calculations of degree growth and entropy for discrete equations

DOI10.1098/rspa.2016.0831zbMath1404.39020OpenAlexW2611843127WikidataQ52384398 ScholiaQ52384398MaRDI QIDQ4647209

Rodney G. Halburd

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0831

zbMATH Keywords

discrete Painlevé equationssingularity confinementalgebraic entropy

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference equations in the complex domain (39A45)

Related Items (8)

Singularity confinement as an integrability criterion ⋮ On the singularity structure of the discrete KdV equation ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Binomial series and complex difference equations ⋮ Integrable mappings and the notion of anticonfinement ⋮ Calculation of algebraic entropies of d-PIV and d-PV ⋮ Calculating algebraic entropies: an express method ⋮ On the singularities of the discrete Korteweg–deVries equation

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