We show that the synchronization of chaotic systems can be achieved by using the observer design techniques which are widely used in the control of dynamical systems. We show that local synchronization is possible under relatively mild conditions and global synchronization is possible if the chaotic system can be transformed into a special form. We also give some examples including the Lorenz, the Rössler systems, and Chua’s oscillator which are known to exhibit chaotic behavior, and show that in these systems synchronization by using observers is possible. © 1996 The American Physical Society.

• Received 22 April 1996

DOI:https://doi.org/10.1103/PhysRevE.54.4803