Phase synchronization of chaos is studied using a modified Rossler sys
tem. By employing a!ift of the phase variable (i.e., phase points sepa
rated by 2 pi are not considered as the same), the transition to phase
synchronization is viewed as a boundary crisis mediated by an unstabl
e-unstable pair bifurcation on a branched manifold, and the accompanyi
ng basin boundary structure is found to be of a new type.