Nonuniversality of weak synchronization in chaotic systems

Abstract

We show that the separate properties of weak synchronization (WS) and strong synchronization (SS), reported recently by Pyragas [K. 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 transition to WS and SS coincide.Comment: 3 pages (Revtex) and 3 figures (postscript) To appear in Phys. Rev. E (Rapid Communications