Synchronization of Chaotic Coupled Fractional-Order Memristive Neural Networks and Its Application in Image Protection

This paper concentrates on the synchronization issue for chaotic coupled fractional-order memristive neural networks (CFMNNs) with time-varying delay. A class of CFMNNs consisting of an isolated master subnetwork and several identical slave subnetworks with coupling term and controller is formulated and analyzed herein. Besides, a coupled feedback controller is designed to realize the complete synchronization of CFMNNs, and novel synchronization criteria are derived in terms of linear matrix inequalities. To illustrate the chaotic characteristics of the controlled CFMNNs, an image encryption scheme is designed based on the synchronization of chaotic CFMNNs. Numerical simulations are carried out to demonstrate the effectiveness and potential applications in image protection.