8 citations · 14 across the 2 of their papers we have counts for
5 papers
Manin involutions for elliptic pencils and discrete integrable systems
Matteo Petrera, Yuri B. Suris, Kangning Wei +1
We contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for ellipt…
How one can repair non-integrable Kahan discretizations
Matteo Petrera, Yuri B. Suris, René Zander
Kahan discretization is applicable to any system of ordinary differential equations on with a quadratic vector field, , and produces a biratio…
On the singularity structure of Kahan discretizations of a class of quadratic vector fields
René Zander
We discuss the singularity structure of Kahan discretizations of a class of quadratric vector fields and provide a classification of the parameter values such that the correspondin…
A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations
René Zander
We consider an Ansatz for the study of the existence of formal integrals of motion for Kahan-Hirota-Kimura discretizations. In this context, we give a combinatorial proof of the fo…
New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
Matteo Petrera, René Zander
We present some new families of quadratic vector fields, not necessarily integrable, for which their Kahan-Hirota-Kimura discretization exhibits the preservation of some of the cha…