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

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  • Yujun Niu
  • Xuming Sun
  • Cheng Zhang
  • Hongjun Liu

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.

Suggested Citation

  • Yujun Niu & Xuming Sun & Cheng Zhang & Hongjun Liu, 2020. "Anticontrol of a Fractional-Order Chaotic System and Its Application in Color Image Encryption," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, March.
    • Handle: RePEc:hin:jnlmpe:6795964
    DOI: 10.1155/2020/6795964
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