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Hopf-Hopf bifurcation analysis and chaotic delayed-DNA audio encryption using cubic nonlinear optoelectronic

Muhammad Aiyaz¹, Junhua Yan¹, Aqsa Zafar Abbasi²

¹School of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China.

Scientific Reports

|January 25, 2026

Summary

This study introduces a hybrid encryption model using chaotic optoelectronic oscillators and DNA computing for secure audio data protection. The method ensures high data security and lossless recovery, demonstrating strong resistance to attacks.

Keywords:

Audio encryption Chaos-DNA based cryptosystem Chaotic delayed system Hopf-Hopf bifurcation

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Area of Science:

Applied Physics
Cryptography
Biocomputing

Background:

Secure data protection is crucial for digital information.
Traditional encryption methods face evolving security threats.
Hybrid approaches offer enhanced security by combining different techniques.

Purpose of the Study:

To develop a novel hybrid encryption model for audio data.
To leverage nonlinear chaotic dynamics and DNA computation for robust security.
To ensure secure and lossless data protection.

Main Methods:

Utilizing a cubic optoelectronic oscillator (OEO) with a delayed feedback loop to generate chaotic signals for cryptographic keys.
Employing bifurcation analysis with the multiple scales method (MMS) and DDE-BIFTOOL to study system dynamics and map high-entropy key sequences.
Applying DNA-level permutation, substitution, and complementation for data diffusion and confusion.

Main Results:

The hybrid model achieved excellent encryption efficacy with high entropy, near-perfect NSCR and UACI values, indicating strong randomness and resistance to statistical and differential attacks.
Chaotic key sequences generated from the OEO effectively drove DNA computation for data scrambling.
Decrypted audio signals exhibited negligible Mean Squared Error (MSE) and high Peak Signal-to-Noise Ratio (PSNR), confirming lossless recovery.

Conclusions:

The proposed hybrid encryption model offers a secure and effective solution for audio data protection.
The combination of chaotic OEOs and DNA computing provides a powerful framework for advanced cryptography.
The method ensures data integrity and confidentiality with high accuracy and resistance to cryptanalysis.