ON THE SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS WITH ZERO LYAPUNOV EXPONENTS

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