Synchronization and Antisynchronization for a Class of Chaotic Systems by a Simple Adaptive Controller

Abstract EN

This paper investigates the synchronization and antisynchronization for a class of chaotic system.

Firstly, a necessary and sufficient condition is proposed to synchronize and antisynchronization simultaneously for the chaotic systems.

Secondly, two methods are obtained to realize coexistence of synchronization and antisynchronization in the chaotic systems, and the corresponding adaptive controllers are also given.

Finally, two numerical examples with simulation verify the correctness and effectiveness of the obtained results.