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<p>Simple formal chaotic systems that exhibit complex behaviors continue to garner significant attention. This paper introduces a three-dimensional (3D) conservative chaotic system rooted in generalized Hamiltonian forms. The system’s dynamics are comprehensively analyzed employing Lyapunov exponents, phase diagrams, and Poincaré map, demonstrating its capability to transition between periodic and chaotic states. Through alterations in system parameters and initial values, the coexistence of multiple stable states within the system is corroborated. Amplitude modulation control over state variables is achieved by integrating proportionality constants into these variables. Furthermore, the system is applied to a DNA color image encryption algorithm, and its robustness is substantiated through performance analysis and resistance to cropping attacks. This validation underscores the encryption algorithm’s excellent confidentiality performance based on the proposed system.</p>

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DNA color image encryption based on conservative chaotic system

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月18日

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  • Minxiu Yan,
  • Minghui Liu,
  • Chong Li

摘要

Simple formal chaotic systems that exhibit complex behaviors continue to garner significant attention. This paper introduces a three-dimensional (3D) conservative chaotic system rooted in generalized Hamiltonian forms. The system’s dynamics are comprehensively analyzed employing Lyapunov exponents, phase diagrams, and Poincaré map, demonstrating its capability to transition between periodic and chaotic states. Through alterations in system parameters and initial values, the coexistence of multiple stable states within the system is corroborated. Amplitude modulation control over state variables is achieved by integrating proportionality constants into these variables. Furthermore, the system is applied to a DNA color image encryption algorithm, and its robustness is substantiated through performance analysis and resistance to cropping attacks. This validation underscores the encryption algorithm’s excellent confidentiality performance based on the proposed system.