  We apply Noether's theorem to show how the invariances of conservative
systems are broken for nonconservative systems, in the variational formulation
of Galley. This formulation considers a conservative action, extended by the
inclusion of a time reversed sector and a nonconservative generalized
potential. We assume that this potential is invariant under the symmetries of
the initial conservative system. The breaking occurs because the time reversed
sector requires inverse symmetry transformations, under which the
nonconservative potential is not invariant. The resulting violation of the
conservation laws is consistent with the equations of motion. We generalize
this formulation for fermionic and sypersymmetric systems. In the case of a
supersymmetric oscillator, the effect of damping is that the bosonic and
fermionic components become different frequencies. Considering that initially
the nonconservative action is invariant under supersymmetry, and that the
breaking is associated to an instability, this result is reminiscent of
spontaneous symmetry breaking.
