Kahan discretisation of a cubic Hamiltonian system

Thomas Kecker, Galina Filipuk

Research output: Contribution to conferenceAbstractpeer-review

Abstract

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.
Original languageEnglish
Publication statusPublished - 11 Dec 2017
Event14th International Conference Dynamical Systems - Theory and Applications - Łódź, Poland
Duration: 11 Dec 201714 Dec 2017
https://www.dys-ta.com/

Conference

Conference14th International Conference Dynamical Systems - Theory and Applications
Abbreviated titleDSTA 2017
CountryPoland
CityŁódź
Period11/12/1714/12/17
Internet address

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