We apply Kahan’s discretisation method, also known as the Hirota-Kimura method or Runge-Kutta method, to a cubic Hamiltonian system of Painlevé type. The system being non-autonomous it is not clear from the start whether discretisation will preserve integrability. Although the resulting discrete system is non-integrable, by introducing a parameter into the equations one obtains a system with reduced (though non-zero) algebraic entropy.
|Publication status||Published - 11 Dec 2017|
|Event||14th International Conference Dynamical Systems - Theory and Applications - Łódź, Poland|
Duration: 11 Dec 2017 → 14 Dec 2017
|Conference||14th International Conference Dynamical Systems - Theory and Applications|
|Abbreviated title||DSTA 2017|
|Period||11/12/17 → 14/12/17|