A class of integrable non-QRT mappings and their deautonomisation

DOI10.1007/s11005-016-0822-1zbMath1333.37083OpenAlexW2287457232MaRDI QIDQ260009

Basile Grammaticos, Alfred Ramani

Publication date: 18 March 2016

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

Full work available at URL: https://doi.org/10.1007/s11005-016-0822-1

zbMATH Keywords

singularitiesintegrabilitydeautonomisationQRT mappings

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Additive difference equations (39A10) Difference equations, scaling ((q)-differences) (39A13) Algebraic and analytic properties of mappings on manifolds (58K20)

Cites Work

• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• The Gambier mapping, revisited
• Singularity, complexity, and quasi-integrability of rational mappings
• Integrable mappings and soliton equations. II
• A class of integrable and nonintegrable mappings and their dynamics
• Dynamics of bimeromorphic maps of surfaces
• Algebraic entropy and the space of initial values for discrete dynamical systems
• Discrete Painlevé equations associated with the affine Weyl groupE₈
• Deautonomizing integrable non-QRT mappings
• A new class of integrable discrete systems
• Do integrable mappings have the Painlevé property?
• A new family of discrete Painlevé equations and associated linearisable systems
• On the autonomous limit of discrete Painlevé equations

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