Anticontrol of a Fractional-Order Chaotic System and Its Application in Color Image Encryption

Abstract EN

This paper investigates the anticontrol of the fractional-order chaotic system.

The necessary condition of the anticontrol of the fractional-order chaotic system is proposed, and based on this necessary condition, a 3D fractional-order chaotic system is driven to two new 4D fractional-order hyperchaotic systems, respectively, without changing the parameters and fractional order.

Hyperchaotic properties of these new fractional dynamic systems are confirmed by Lyapunov exponents and bifurcation diagrams.

Furthermore, a color image encryption algorithm is designed based on these fractional hyperchaotic systems.

The effectiveness of their application in image encryption is verified.