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nlin.SI2011★ 3 cited
Bi-Hamiltonian ODEs with matrix variables
Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov
We consider a special class of linear and quadratic Poisson brackets related to ODE systems with matrix variables. We investigate general properties of such brackets, present an ex…
math-ph2011★ 1 cited
Integer solutions of integral inequalities and H-invariant Jacobian Poisson structures
Giovanni Ortenzi, Vladimir Rubtsov, Serge Roméo Tagne Pelap
We study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of s…