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

Yujun Niu, Xuming Sun, Cheng Zhang and Hongjun Liu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-12

Abstract:

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6795964

DOI: 10.1155/2020/6795964

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