ON THE SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS WITH ZERO LYAPUNOV EXPONENTS

Document Type: Regular Paper

Author

Mathematics Department, College of Sciences, Shiraz University, Shiraz, I. R. of Iran

Abstract

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.