We show that the separate properties of weak synchronization (WS) and strong synchronization (SS), reported recently by Pyragas [Phys. Rev. E 54, R4508 (1996)], in unidirectionally coupled chaotic systems, are not generally distinct properties of such systems. In particular, we find analytically for the tent map and numerically for some parameters of the circle map that the transitions to WS and SS coincide.

• Received 2 June 1997

DOI:https://doi.org/10.1103/PhysRevE.56.R3741