Fixed points analysis of the classical spin-boson model

We study the position and the stability of the fixed points of the classical spin-boson model, using cartesian coordinates for describing the classical spin. In that way, we avoid some singularities which appear in the dynamical system written with the usual angular coordinates. This paper has to be read as a critical complement of a previous one written by de Aguiar et al. (ibid., vol.3, p.305, 1991). Comparing our results with those, we have found one more fixed point, and our conclusions on the stability of some other fixed points reveal some disagreement.