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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…
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…