  We present two new results regarding damage spreading in ferromagnetic Ising
models. First, we show that a damage spreading transition can occur in an Ising
chain that evolves in contact with a thermal reservoir. Damage heals at low
temperature and spreads for high T. The dynamic rules for the system's
evolution for which such a transition is observed are as legitimate as the
conventional rules (Glauber, Metropolis, heat bath). Our second result is that
such transitions are not always in the directed percolation universality class.
