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The behavior of dynamical system interacting with non-equilibrium medium isinvestigated. Formally exact kinetic equations are derived for the statisticaloperator of the dynamical system and the macroscopic parameters of the medium.In the second order of perturbation with respect of interaction of the systemwith the medium, expression for the scattering integral is presented. Thesimplest applications of the obtained equations are considered.

Generalized kinetic equations of dynamic system interacting with non-equilibrium medium