  A pair (A,B) of interacting oscillators treated as a master system sending
signals to its slave copy (a,b) through two communication channels A-->a and
B-->b is considered. The effect of non-simultaneous (two-time) synchronization
of the pairs (a,A) and (b,B) is demonstrated with the help of coupled Kerr
oscillators producing hyperchaos. An individual pair, for example, (b,B) can
also be synchronized when its communication channel B-->b is turned off,
provided that the second channel for the pair (a,A) is turned on. The resulted
synchronization is termed induced. The efficiencies of the presented
synchronization precesses are studied.
