Synchronization of Hyperchaotic Cellular Neural Networks: a System Theory Approach

In recent years synchronization of chaotic dynamics has received ever increasing attention. Herein, Cellular Neural Networks (CNNs) are considered as a tool for generating hyperchaotic behaviors. By exploiting a system theory approach, a technique for synchronizing a large class of CNNs is developed. In particular, a necessary and sufficient condition for hyperchaos synchronization is given, which is based on the controllability property of linear systems. Finally, in order to show the effectiveness of the proposed technique, the synchronization of a CNN constituted by Chua’s circuits is illustrated.