Full-deautonomisation of a class of second-order mappings in ancillary form

Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations
The Gambier mapping, revisited
The hunting for the discrete Painlevé equations
Integrable mappings and soliton equations. II
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On a novel $q$-discrete analogue of the Painlevé VI equation
Singularity confinement and full-deautonomisation: a discrete integrability criterion
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Degree growth of birational maps of the plane
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Linearizable QRT mappings
On the canonical forms of QRT mappings and discrete Painlevé equations
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Full-deautonomisation of a lattice equation
From the continuous PV to discrete Painlev$eacute$ equations
Do integrable mappings have the Painlevé property?
Integrable systems without the Painlevé property
Elementary exact calculations of degree growth and entropy for discrete equations
Diophantine integrability
Integrable mappings and the notion of anticonfinement
Higher linearizable mappings and their explicit integration
The redemption of singularity confinement
Calculating algebraic entropies: an express method
Deautonomization by singularity confinement: an algebro-geometric justification
On the autonomous limit of discrete Painlevé equations

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