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What is Nonstandard Discretisation of Painlevé Systems about?

The document discusses a non-standard discretization method for Painlevé type Hamiltonian systems, focusing on the Kahan method applied to cubic Hamiltonian systems. It investigates singularity confinement and the dynamical degree of the resulting discrete maps, revealing that certain conditions lead to reduced dynamical degrees. The research highlights the challenges in preserving integrability and suggests further modifications to the Kahan method for achieving integrable discrete maps.

Author

lxq8786

Language

EN