Donetsk Institute for Physics and Technology of NAS of Ukraine
83114, vul. R. Lyuxemburg, 72, Donetsk.
E-mail: alyona@kinetic.ac.donetsk.ua

Nonlinear Poisson algebras and integrable systems

Abstract:
It was shown that polynomial generalization of Poisson AW-algebra can be used to describe dynamics of such integrable systems as Euler and Langranges top.