53 citations · 111 across the 12 of their papers we have counts for
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On the construction of elliptic solutions of integrable birational maps
Matteo Petrera, Andreas Pfadler, Yuri B. Suris
We present a systematic technique to find explicit solutions of birational maps, provided that these solutions are given in terms of elliptic functions. The two main ingredients ar…
On integrability of Hirota-Kimura type discretizations
Matteo Petrera, Andreas Pfadler, Yuri B. Suris
We give an overview of the integrability of the Hirota-Kimura discretization method applied to algebraically completely integrable (a.c.i.) systems with quadratic vector fields. Al…
On integrability of Hirota-Kimura type discretizations. Experimental study of the discrete Clebsch system
M. Petrera, A. Pfadler, Yu. B. Suris
R. Hirota and K. Kimura discovered integrable discretizations of the Euler and the Lagrange tops, given by birational maps. Their method is a specialization to the integrable conte…