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nlin.SI2020
A novel 8-parameter integrable map in
G R W Quispel, D I McLaren, P H van der Kamp
We present a novel 8-parameter integrable map in . The map is measure-preserving and possesses two functionally independent 2-integrals, as well as a measure-preservi…
nlin.SI2020
Homogeneous Darboux polynomials and generalising integrable ODE systems
Peter H. van der Kamp, D. I. McLaren, G. R. W. Quispel
We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra s…