  A hierarchy of commutative Poisson subalgebras for the Sklyanin bracket is
proposed. Each of the subalgebras provides a complete set of integrals in
involution with respect to the Sklyanin bracket. Using different
representations of the bracket, we find some integrable models and a separation
of variables for them. The models obtained are deformations of known integrable
systems like the Goryachev-Chaplygin top, the Toda lattice and the Heisenberg
model.
