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DNA color image encryption based on conservative chaotic system.

Minxiu Yan1, Minghui Liu1, Chong Li2

  • 1School of Information Engineering, Shenyang University of Chemical Technology, Shenyang, 110142, China.

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|March 19, 2025
PubMed
Summary
This summary is machine-generated.

This study presents a new conservative chaotic system with Hamiltonian forms, useful for secure data encryption. Its complex dynamics and control capabilities enable robust DNA image encryption, ensuring high confidentiality.

Keywords:
Amplitude modulation controlConservative chaotic systemDNA color image encryptionSteady-state coexistence

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Area of Science:

  • Complex Systems
  • Chaos Theory
  • Applied Mathematics

Background:

  • Simple formal chaotic systems exhibit complex behaviors, attracting significant research interest.
  • Hamiltonian systems are fundamental in physics and mathematics for describing conservative dynamics.

Purpose of the Study:

  • Introduce a novel three-dimensional (3D) conservative chaotic system based on generalized Hamiltonian forms.
  • Analyze the system's dynamics, control, and application in image encryption.

Main Methods:

  • Lyapunov exponents, phase diagrams, and Poincaré maps were used for dynamic analysis.
  • System parameters and initial values were altered to study state transitions and coexistence.
  • Amplitude modulation control was implemented using proportionality constants.
  • The system was applied to a DNA color image encryption algorithm.

Main Results:

  • The system exhibits transitions between periodic and chaotic states.
  • Multiple stable states coexist within the system.
  • Effective amplitude modulation control of state variables was achieved.
  • The DNA image encryption algorithm demonstrated robustness against cropping attacks.

Conclusions:

  • The proposed 3D conservative chaotic system offers complex dynamics and controllability.
  • The system is suitable for secure DNA color image encryption.
  • The encryption algorithm provides excellent confidentiality and robustness.