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<p>To improve the flexibility and security of image encryption, in this paper, a novel Hénon Nonlinear Coupled Mapping Lattice (HNCML) for spatiotemporal chaos is proposed. The HNCML system provides a secure keystream and expands the key space. First, by introducing the Hénon map, the system alleviates the periodicity phenomenon caused by the nonlinear coupling of the Arnold map and exhibits a broader range of chaotic states. Specifically, the Kolmogorov–Sinai Entropy Breadth (KEB) increases from 82.4675 to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11071_2025_10998_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="67" /> </InlineMediaObject> <EquationSource Format="TEX">\(93.5065\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>93.5065</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>, and the Kolmogorov–Sinai Entropy Density (KED) increases from 0.289455 to 0.316326. Subsequently, based on HNCML, a random dynamic segmentation method is proposed, which is utilized to segment the images. This approach addresses the issue of excessive padding caused by fixed block sizes. Then, the internal diffusion is employed in the segmented images. Finally, RNA genetic encoding operations-including selection, crossover, mutation, and amino acid classification arithmetic-are effectively integrated into the encryption process. This integration optimizes traditional DNA methods and improves the robustness of the algorithm. The experimental results demonstrate that the proposed algorithm has advantages in security and flexibility, which makes it highly suitable for industrial applications.</p>

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Spatiotemporal chaos in Hénon nonlinear coupling and its application in image encryption with RNA genetic encoding operations

  • 期刊论文

  • 发表日期：

    2025年5月8日

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  • Jingjing Yang,
  • Wei Zhang,
  • Hai Yu,
  • Zhiliang Zhu

摘要

To improve the flexibility and security of image encryption, in this paper, a novel Hénon Nonlinear Coupled Mapping Lattice (HNCML) for spatiotemporal chaos is proposed. The HNCML system provides a secure keystream and expands the key space. First, by introducing the Hénon map, the system alleviates the periodicity phenomenon caused by the nonlinear coupling of the Arnold map and exhibits a broader range of chaotic states. Specifically, the Kolmogorov–Sinai Entropy Breadth (KEB) increases from 82.4675 to \(93.5065\%\) 93.5065 % , and the Kolmogorov–Sinai Entropy Density (KED) increases from 0.289455 to 0.316326. Subsequently, based on HNCML, a random dynamic segmentation method is proposed, which is utilized to segment the images. This approach addresses the issue of excessive padding caused by fixed block sizes. Then, the internal diffusion is employed in the segmented images. Finally, RNA genetic encoding operations-including selection, crossover, mutation, and amino acid classification arithmetic-are effectively integrated into the encryption process. This integration optimizes traditional DNA methods and improves the robustness of the algorithm. The experimental results demonstrate that the proposed algorithm has advantages in security and flexibility, which makes it highly suitable for industrial applications.