26 citations · 41 across the 5 of their papers we have counts for
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solv-int1999
The motion of a rigid body in a quadratic potential: an integrable discretization
Yuri B. Suris
The motion of a rigid body in a quadratic potential is an important example of an integrable Hamiltonian system on a dual to a semidirect product Lie algebra so(n) x Symm(n). We gi…
math.SG1999
Discrete Lagrangian reduction, discrete Euler-Poincare equations, and semidirect products
Alexander I. Bobenko, Yuri B. Suris
A discrete version of Lagrangian reduction is developed in the context of discrete time Lagrangian systems on , where is a Lie group. We consider the case when the L…
solv-int1999
Miura transformations for Toda--type integrable systems, with applications to the problem of integrable discretizations
Yuri B. Suris
We study lattice Miura transformations for the Toda and Volterra lattices, relativistic Toda and Volterra lattices, and their modifications. In particular, we give three successive…