An elementary construction of modified Hamiltonians and modified measures of 2D Kahan maps

Rational and birational maps (14E05) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

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Lax pairs for the discrete reduced Nahm systems
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On compact analytic surfaces. II
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Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations
Integrable mappings via rational elliptic surfaces
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation
New classes of quadratic vector fields admitting integral-preserving Kahan–Hirota–Kimura discretizations
Characterizing singular curves in parametrized families of biquadratics
A three-dimensional generalization of QRT maps
Birational maps from polarization and the preservation of measure and integrals

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