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An alternating integrable map whose square is the QRT map

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Publication:1854584
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DOI10.1016/S0375-9601(02)01681-XzbMath1006.37032MaRDI QIDQ1854584

Gilles Reinout Willem Quispel

Publication date: 14 January 2003

Published in: Physics Letters. A (Search for Journal in Brave)


zbMATH Keywords

time dependencesecond iterate


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)


Related Items (3)

Quantized alternating integrable mappings ⋮ Re-factorising a QRT map ⋮ On Quispel-Roberts-Thompson extensions and integrable correspondences



Cites Work

  • Unnamed Item
  • Linear integral equations and nonlinear difference-difference equations
  • Reversing \(k\)-symmetries in dynamical systems
  • Rational surfaces associated with affine root systems and geometry of the Painlevé equations
  • The Painlevé property. One century later
  • \(k\)-integrals and \(k\)-Lie symmetries in discrete dynamical systems
  • Integrable mappings and soliton equations
  • Integrable mappings and soliton equations. II
  • Nonlinear differential–difference equations and Fourier analysis


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