A Novel Scheme of Image Encryption Based on Synchronization of Fractional Order Chaotic Systems

摘要

Application of synchronization of fractional order chaotic systems to address the problem of image encryption is the main contribution of this paper. The sensitivity to initial condition, fractional orders of derivatives and system parameters are the characteristics of chaotic systems, which are remarkable for secure transmission of information. A backstepping based controller is designed for synchronization of two similar fractional order chaotic systems in master-slave configuration. The controller obtained is divided into two parts and one part is transmitted through the communication channel whereas the other part has to be designed at the receiver end in order to achieve synchronization between master and slave system. The initial conditions, system parameters, fractional orders and the combination of master system states form a large key set which should be known prior. Finally, the results obtained after simulation are presented to demonstrate the applicability of proposed scheme.