Dynamic Analysis of a Four-Wing Chaotic System and Application in Image Encryption Based on Compressive Sensing

Abstract

Compared with the conventional multi-scroll attractor, the multi-wing butterfly chaotic attractors are easier to design and implement through analog circuitry, thus they has more potential applications. To explore the dynamic property of the multi-wing butterfly system and its application to image encryption. A chaotic system with four-wing attractors is designed and the dynamic behaviors are analyzed in terms of phase diagram, bifurcation diagram, Lyapunov exponential spectrum and C0 structural complexity. It is found that each parameter has a large range of intervals that can keep the system in the chaotic state and the generated sequences have sufficient pseudorandom to be well suited for application in secure communications. Then, the circuit model of the constructed four-wing chaotic system is built with a basic operational amplifier circuit, and the accuracy of the circuit implementation is verified. Finally, a color image compression encryption scheme is designed based on the theory of compressive sensing and DNA dynamic coding. The algorithm is mainly composed of five parts: sparse, compression calculation, 3D projection scrambling, DNA diffusion and plaintext association confusion. The security test results show that the designed scheme not only has superior compression performance and high security, but also has no limitation on the size of the test image.

Keywords

• Four-wing attractor
• compressive sensing
• DNA encoding
• color image encryption
• multisim circuit simulation