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Integrable ODEs with matrix variables. Bi-Hamiltonian approach

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Speaker: 
Vladimir Sokolov
Affiliation: 
Landau Inst. for Theor. Physics/MPI
Date: 
Thu, 2012-04-05 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Joint work with V.Roubtsov and A.Odesskii.

We consider a special class of linear and quadratic Poisson brackets related to
ODE systems with matrix variables. General properties of such brackets are
investigated. A complete classification of quadratic brackets in the case of two
matrices is presented. Examples of a compatible pairs of quadratic and linear
brackets are found.

 

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