Let S01, S11,...,S n-11 be n circles. A rotation in n circles is a map f:Ui=0n-1Si1→U i=0n-1Si1 which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps. © 1994 American Institute of Physics.