A novel asymmetrical double-wing hyperchaotic system with multiple different attractors: application to finite-time synchronization and image encryption

In this paper, a novel asymmetrical double-wing third order hyperchaotic system is humbly proposed. The dynamic behavior of the system is greatly abundant after properly analyzing the phase diagram, bifurcation diagram, Lyapunov exponents spectrum, Poincare section diagram, and complexity. In addition, chaotic attractors under different parameters of the system are analyzed. In the dynamic analysis of the new system, it is found that the new system has some characteristics, like multi-stability, multi-state transition phenomenon, multiple attractors coexist. These features possess the value of in-depth analysis compared to previous systems and can make it promising for more applications. It is extraordinary attention for this new chaotic system, due to exist on multi-state transition phenomenon. The circuit diagram of the system is designed and implemented. Simultaneously, the circuit of the system is engineered and accomplished by using Multisim circuit simulation software. Furthermore, the limited time synchronization for the system is studied and carried out by an appropriate controller. Ultimately, algorithm of image encryption, novel and efficient, is designed by combining DNA dynamic encryption. The chaotic sequence of the current system is used to encrypt the image, and the key space, encrypted histogram, adjacent pixel correlation, robustness and information entropy are analyzed. The excellent performance analysis results further indicate that this hyperchaotic system has important reference value in the chosen field of chaotic image encryption and synchronization.