The Gambier mapping, revisited
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Publication:1386874
DOI10.1016/S0378-4371(97)00675-4zbMath0910.58017arXivsolv-int/9804011MaRDI QIDQ1386874
Alfred Ramani, Stéphane Lafortune, Basile Grammaticos
Publication date: 26 May 1998
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9804011
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (20)
From integrable lattices to non-QRT mappings ⋮ Singularity confinement and algebraic integrability ⋮ Again, linearizable mappings ⋮ Multiplicative equations related to the affine Weyl group E8 ⋮ Folding transformations of equations from the Gambier family ⋮ Gambier lattices and other linearisable systems ⋮ On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Linearisable ultradiscrete systems with sign variables and the confinement of singularities ⋮ Dirac-Lie systems and Schwarzian equations ⋮ Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations ⋮ First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation ⋮ Integrable mappings and the notion of anticonfinement ⋮ Discrete systems related to some equations of the Painlevé-Gambier classification ⋮ Contiguity relations for linearisable systems of Gambier type ⋮ Linearisable mappings, revisited ⋮ Calculation of algebraic entropies of d-PIV and d-PV ⋮ The last remake of the Gambier mapping ⋮ What is the discrete analogue of the Painlevé property? ⋮ A class of integrable non-QRT mappings and their deautonomisation
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