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<p>Compared with conventional chaotic attractors, grid multi-scroll chaotic attractors exhibit more complex dynamical characteristics and contain more cryptographic parameters, endowing them with superior performance and broader application prospects in encryption. Therefore, building upon the Chua circuit framework, this paper proposes a novel scheme for constructing a six-dimensional memristive grid multi-scroll chaotic system by replacing traditional first-order nonlinear terms with memristors and incorporating the universal variable extension method. Through comprehensive dynamical analysis, the system is demonstrated to possess hyperchaotic behaviors. An FPGA-based experimental platform was developed to implement this chaotic system using digital circuits, with its phase portraits successfully visualized on oscilloscopes. Finally, a novel image encryption algorithm integrating the six-dimensional memristive grid multi-scroll hyperchaotic system, SHA-512, and DNA encoding is proposed. Through a series of analyses, it is proved that the algorithm has advantages such as high security and good robustness.</p>

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A novel scheme for constructing grid multi-scroll chaotic systems applied to image encryption

  • 期刊论文

  • 发表日期：

    2025年5月23日

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  • Dongxu Liu,
  • Guofeng Yu,
  • Yuzhuo Zhao,
  • Qun Ding

摘要

Compared with conventional chaotic attractors, grid multi-scroll chaotic attractors exhibit more complex dynamical characteristics and contain more cryptographic parameters, endowing them with superior performance and broader application prospects in encryption. Therefore, building upon the Chua circuit framework, this paper proposes a novel scheme for constructing a six-dimensional memristive grid multi-scroll chaotic system by replacing traditional first-order nonlinear terms with memristors and incorporating the universal variable extension method. Through comprehensive dynamical analysis, the system is demonstrated to possess hyperchaotic behaviors. An FPGA-based experimental platform was developed to implement this chaotic system using digital circuits, with its phase portraits successfully visualized on oscilloscopes. Finally, a novel image encryption algorithm integrating the six-dimensional memristive grid multi-scroll hyperchaotic system, SHA-512, and DNA encoding is proposed. Through a series of analyses, it is proved that the algorithm has advantages such as high security and good robustness.