We demonstrate that the well known phase-locking mechanism leading to Shapi
ro steps in ac-driven Josephson junctions is always accompanied by a higher
-order phase-locking mechanism similar to that of the parametrically driven
pendulum. This effect, resulting in a pi-periodic effective potential for
the phase, manifests itself clearly in the parameter regions when the usual
Shapiro steps are expected to vanish. [S0163-1829(99)02502-3].