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Integrable third-order mappings and their growth properties

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Publication:1860531
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DOI10.1070/RD2001v006n04ABEH000188zbMath1011.39017MaRDI QIDQ1860531

A. S. Carstea, Stéphane Lafortune, Alfred Ramani, Basile Grammaticos, Yasuhiro Ohta

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

discrete Painlevé equationdifference equationintegrable discrete system


Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)


Related Items (5)

Bi-rational maps in four dimensions with two invariants ⋮ Growth and integrability of some birational maps in dimension three ⋮ \(q\)-analogues of Freud weights and nonlinear difference equations ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Super-QRT and 4D-mappings reduced from the lattice super-KdV equation




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