  The mechanism of synchronization in the random Zaslavsky map is investigated.
  From the error dynamics of two particles, the structure of phase space was
analyzed, and a transcritical bifurcation between a saddle and a stable fixed
point was found. We have verified the structure of on-off intermittency in
terms of a biased random walk. Furthermore, for the generalized case of the
ensemble of particles, \emph{a modified definition} of the size of a snapshot
attractor was exploited to establish the link with a random walk. As a result,
the structure of on-off intermittency in the ensemble of particles was
explicitly revealed near the transition.
