Two-time synchronism and induced synchronization

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.