Arithmetical Method to Detect Integrability in Maps

DOI10.1103/PhysRevLett.90.034102zbMath1267.37058OpenAlexW2071124910WikidataQ78896976 ScholiaQ78896976MaRDI QIDQ2837688

John A. G. Roberts, Franco Vivaldi

Publication date: 11 July 2013

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrevlett.90.034102

Mathematics Subject Classification ID

Related Items (16)

Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps ⋮ On the integrability of correspondences associated to integral curves ⋮ Singularity confinement for maps with the Laurent property ⋮ The Extension of Integrable Mappings to Non-Commuting Variables ⋮ Integrable mappings of the plane preserving biquadratic invariant curves. III ⋮ Distribution of periodic orbits for the Casati-Prosen map on rational lattices ⋮ Solvable chaos ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Discrete Burgers' equation, binomial coefficients and Mandala ⋮ Existence of zero-order meromorphic solutions in detecting $q$-difference Painlevé equations ⋮ Existence of finite-order meromorphic solutions as a detector of integrability in difference equations ⋮ Painlevé Tests, Singularity Structure and Integrability ⋮ Bifurcations in two-dimensional reversible maps ⋮ The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields ⋮ Detecting and determining preserved measures and integrals of birational maps ⋮ Finite-order meromorphic solutions and the discrete Painlevé equations

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