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<p>Recently, a conservative chaotic system with dissipative terms has been proposed, providing a new perspective on the generation mechanism of conservative chaos. However, the dynamic behavior, circuit implementation, and practical application potential of this system still require further investigation. Therefore, this paper delves into the dynamic characteristics of this system, completes its physical implementation, and designs a novel encryption algorithm. Specific research includes: analysis of equilibrium points, exploration of coexistence phenomena, construction of the physical circuit, design of a pseudo-random number generator, and a novel encryption scheme based on this system. Results show that parameter variations play a decisive role in the number and stability of the system’s equilibrium points, and a multi-stability phenomenon of coexistence between conservative chaos and invariant tori is widely observed in the system. The pseudo-random sequences generated by the designed pseudo-random number generator successfully pass the NIST and TestU01 tests. Security evaluations demonstrate that the proposed encryption algorithm exhibits good robustness against various attacks.</p>

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Dynamics analysis of a novel conservative chaotic system and its application in image encryption

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月19日

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  • Yue Li,
  • Yulong Shi,
  • Maozheng Li,
  • Haopeng Wang,
  • Zengqiang Chen

摘要

Recently, a conservative chaotic system with dissipative terms has been proposed, providing a new perspective on the generation mechanism of conservative chaos. However, the dynamic behavior, circuit implementation, and practical application potential of this system still require further investigation. Therefore, this paper delves into the dynamic characteristics of this system, completes its physical implementation, and designs a novel encryption algorithm. Specific research includes: analysis of equilibrium points, exploration of coexistence phenomena, construction of the physical circuit, design of a pseudo-random number generator, and a novel encryption scheme based on this system. Results show that parameter variations play a decisive role in the number and stability of the system’s equilibrium points, and a multi-stability phenomenon of coexistence between conservative chaos and invariant tori is widely observed in the system. The pseudo-random sequences generated by the designed pseudo-random number generator successfully pass the NIST and TestU01 tests. Security evaluations demonstrate that the proposed encryption algorithm exhibits good robustness against various attacks.