Calculation of algebraic entropies of d-PIV and d-PV

DOI10.1063/5.0040204zbMath1486.37033OpenAlexW3169387333MaRDI QIDQ5000213

Chengliang Tan, Ji-Long Zhang

Publication date: 9 July 2021

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

Full work available at URL: https://doi.org/10.1063/5.0040204

zbMATH Keywords

integrabilitysingularity confinementalgebraic entropysingularity patternsdiscrete Painlevé équations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Discrete version of topics in analysis (39A12) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

• The Gambier mapping, revisited
• Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
• Three approaches to detecting discrete integrability
• Algebraic entropy and the space of initial values for discrete dynamical systems
• Growth of degrees of integrable mappings
• Discrete versions of the Painlevé equations
• Elementary exact calculations of degree growth and entropy for discrete equations
• Calculating the algebraic entropy of mappings with unconfined singularities
• Integrable mappings and the notion of anticonfinement
• Calculating algebraic entropies: an express method

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