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A novel 6D four-wing memristive hyperchaotic system: Generalized fixed-time synchronization and its application in secure image encryption

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  • Hassan, Ali
  • Zhou, Liangqiang

Abstract

Nonlinear dynamical systems have extensively been studied in the realm of cryptography, yet the use of high-dimensional memristive chaotic systems with fixed time synchronization for secure communications remains underexplored, ensuring large key space and strong resistance to security threats. In this paper, we present a novel 6D memristive hyperchaotic system by incorporating a flux-controlled memristor into a five-dimensional continuous chaotic system; surprisingly, it shows a four-wing attractor. The chaotic dynamics of the system are investigated by employing Lyapunov exponents, bifurcation diagrams, Poincaré maps, and sensitivity to initial conditions, which verify its hyperchaotic phase. Additionally, we realize generalized fixed-time synchronization of our system based on Lyapunov stability theory and the theory of fixed-time with a non-identical 6D hyperchaotic system. This approach derives synchronization techniques in higher-dimensional systems and shows their possible use for applications in cryptography. Furthermore, we proposed an effective image encryption algorithm using chaos theory and DNA computing, followed by a comparative performance analysis.

Suggested Citation

  • Hassan, Ali & Zhou, Liangqiang, 2025. "A novel 6D four-wing memristive hyperchaotic system: Generalized fixed-time synchronization and its application in secure image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077924015388
    DOI: 10.1016/j.chaos.2024.115986
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