  The expansion of a classical Hamilton formalism consisting in adaptation of
it to describe the nonequilibrium systems is offered. Expansion is obtained by
construction of formalism on the basis of the dynamics equation of the
equilibrium subsystems by which the nonequilibrium system is represented. It
has allowed removing restrictions on dynamics of the subsystems, which dictated
by the requirement of monogenic and potentiality of the forces between
subsystems. Modified Lagrange, Hamilton and Liouville equations are obtained.
Some features of dynamics of nonequilibrium systems are considered. Connection
between the equation of interaction of subsystems and a thermodynamic principle
of energy is analyzed.
