\(k\)-integrals and \(k\)-Lie symmetries in discrete dynamical systems

DOI10.1016/S0378-4371(96)00142-2zbMath0985.37053MaRDI QIDQ1816812

F. A. Haggar, H. W. Capel, G. B. Byrnes, Gilles Reinout Willem Quispel

Publication date: 28 November 1996

Published in: Physica A (Search for Journal in Brave)

Mathematics Subject Classification ID

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Integrable non-QRT mappings of the plane, Periodic Orbits of Planar Integrable Birational Maps, Different Approaches to the Global Periodicity Problem, Real dynamics of integrable birational maps, Growth and integrability of some birational maps in dimension three, Dynamics of the birational maps arising from \(F_0\) and \(dP_3\) quivers, Non-integrability of measure preserving maps via Lie symmetries, Lie symmetries of birational maps preserving genus 0 fibrations, Studying discrete dynamical systems through differential equations, Generalised Manin transformations and QRT maps, Preface. Special issue in honor of Reinout Quispel, Re-factorising a QRT map, Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations, A new family of four-dimensional symplectic and integrable mappings, Detecting and determining preserved measures and integrals of birational maps, An alternating integrable map whose square is the QRT map

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