ON THE SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS WITH ZERO LYAPUNOV EXPONENTS

Abstract

The threshold of weak and strong synchronization in a coupled chaotic Gaussian map isdemonstrated by using the Pyragas' terminology. However, Vieira and Lichtenberg have shown that thePyragas' criteria for weak and strong synchronization cannot be used for all chaotic systems. In this articlewe demonstrated some interesting synchronization behavior of two coupled chaotic systems with some zeroand negative Lyapunov exponents. In such cases the various synchronization behaviors may also depend uponthe eigenvalues of a system obtained by subtracting two chaotic systems.