A Fractional-Order Chaotic System and its Image Encryption

Abstract

Many researchers have worked on image encryption combined with chaotic systems, and have made significant progress in recent decades. A fractional-order memristive chaotic systemr is proposed in this paper. Through theoretical analysis and numerical simulation, we found that the system has hidden attractors and coexistence behavior. Other than that, because the chaotic sequence generated by the chaotic system has a large key space and high security, an image encryption scheme is presented based on the chaotic system. We verify the effectiveness of the encryption method proposed in this paper by numerical simulation.