14 citations · 17 across the 3 of their papers we have counts for
3 papers
nlin.SI2016★ 1 cited
A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case
Matteo Petrera, Yuri B. Suris
We give a construction of completely integrable ()-dimensional Hamiltonian systems with symplectic brackets of the Lie-Poisson type (linear in coordinates) and with quadratic H…
nlin.SI2016★ 2 cited
A construction of commuting systems of integrable symplectic birational maps
Matteo Petrera, Yuri B. Suris
We give a construction of completely integrable -dimensional Hamiltonian systems with cubic Hamilton functions. The construction depends on a constant skew-Hamiltonian matrix…
math-ph2014★ 14 cited
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems
Raphael Boll, Matteo Petrera, Yuri B. Suris
We establish the pluri-Lagrangian structure for families of Bäcklund transformations of relativistic Toda-type systems. The key idea is a novel embedding of these discrete-time (on…