中国物理B ›› 2025, Vol. 34 ›› Issue (12): 120509-120509.doi: 10.1088/1674-1056/ae0017

• • 上一篇    

Synchronization of a fractional-order chaotic memristive system and its application to secure image transmission

Lamia Chouchane1,†, Hamid Hamiche1,‡, Karim Kemih2,§, Ouerdia Megherbi1,¶, and Karim Labadi3,#   

  1. 1 Laboratoire de Conception et Conduite des Systemes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria;
    2 Laboratoire dElectrotechnique et dElectronique Industrielle (L2EI), Universite de Jijel, BP 98 Ouled Aissa, 18000 Jijel, Algeria;
    3 Laboratoire de Recherche en Eco-Innovation Industrielle et Energtique (LR2E), ECAM-EPMI/Quartz-Lab Cergy pontoise, Cergy-Pontoise Cedex, France
  • 收稿日期:2025-05-30 修回日期:2025-08-15 接受日期:2025-08-28 发布日期:2025-11-25
  • 通讯作者: Lamia Chouchane, Hamid Hamiche, Karim Kemih, Ouerdia Megherbi, Karim Labadi E-mail:lamia.chouchane@ummto.dz;hamid.hamiche@ummto.dz;k.kemih@gmail.com;ouerdia.megherbi@ummto.dz;k.labadi@ecam-epmi.com

Synchronization of a fractional-order chaotic memristive system and its application to secure image transmission

Lamia Chouchane1,†, Hamid Hamiche1,‡, Karim Kemih2,§, Ouerdia Megherbi1,¶, and Karim Labadi3,#   

  1. 1 Laboratoire de Conception et Conduite des Systemes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria;
    2 Laboratoire dElectrotechnique et dElectronique Industrielle (L2EI), Universite de Jijel, BP 98 Ouled Aissa, 18000 Jijel, Algeria;
    3 Laboratoire de Recherche en Eco-Innovation Industrielle et Energtique (LR2E), ECAM-EPMI/Quartz-Lab Cergy pontoise, Cergy-Pontoise Cedex, France
  • Received:2025-05-30 Revised:2025-08-15 Accepted:2025-08-28 Published:2025-11-25
  • Contact: Lamia Chouchane, Hamid Hamiche, Karim Kemih, Ouerdia Megherbi, Karim Labadi E-mail:lamia.chouchane@ummto.dz;hamid.hamiche@ummto.dz;k.kemih@gmail.com;ouerdia.megherbi@ummto.dz;k.labadi@ecam-epmi.com
  • About author:2025-120509-250964.pdf

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摘要： The dynamics of chaotic memristor-based systems offer promising potential for secure communication. However, existing solutions frequently suffer from drawbacks such as slow synchronization, low key diversity, and poor noise resistance. To overcome these issues, a novel fractional-order chaotic system incorporating a memristor emulator derived from the Shinriki oscillator is proposed. The main contribution lies in the enhanced dynamic complexity and flexibility of the proposed architecture, making it suitable for cryptographic applications. Furthermore, the feasibility of synchronization to ensure secure data transmission is demonstrated through the validation of two strategies: an active control method ensuring asymptotic convergence, and a finite-time control method enabling faster stabilization. The robustness of the scheme is confirmed by simulation results on a color image: $\chi^2={253/237/267}$ (R/G/B); entropy ${\approx 7.993}$; correlations between adjacent pixels in all directions are close to zero (e.g., ${-0.0318}$ vertically); and high number of pixel change rate and unified average changing intensity (e.g., ${33.40\%}$ and ${99.61\%}$, respectively). Peak signal-to-noise ratio analysis shows that resilience to noise and external disturbances is maintained. It is shown that multiple fractional orders further enrich the chaotic behavior, increasing the systems suitability for secure communication in embedded environments. These findings highlight the relevance of fractional-order chaotic memristive systems for lightweight secure transmission applications.

关键词: memristor, fractional-order chaotic system, synchronization, finite-time control, active control, cryptography, secure communications

Abstract: The dynamics of chaotic memristor-based systems offer promising potential for secure communication. However, existing solutions frequently suffer from drawbacks such as slow synchronization, low key diversity, and poor noise resistance. To overcome these issues, a novel fractional-order chaotic system incorporating a memristor emulator derived from the Shinriki oscillator is proposed. The main contribution lies in the enhanced dynamic complexity and flexibility of the proposed architecture, making it suitable for cryptographic applications. Furthermore, the feasibility of synchronization to ensure secure data transmission is demonstrated through the validation of two strategies: an active control method ensuring asymptotic convergence, and a finite-time control method enabling faster stabilization. The robustness of the scheme is confirmed by simulation results on a color image: $\chi^2={253/237/267}$ (R/G/B); entropy ${\approx 7.993}$; correlations between adjacent pixels in all directions are close to zero (e.g., ${-0.0318}$ vertically); and high number of pixel change rate and unified average changing intensity (e.g., ${33.40\%}$ and ${99.61\%}$, respectively). Peak signal-to-noise ratio analysis shows that resilience to noise and external disturbances is maintained. It is shown that multiple fractional orders further enrich the chaotic behavior, increasing the systems suitability for secure communication in embedded environments. These findings highlight the relevance of fractional-order chaotic memristive systems for lightweight secure transmission applications.

Key words: memristor, fractional-order chaotic system, synchronization, finite-time control, active control, cryptography, secure communications

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
05.45.Xt (Synchronization; coupled oscillators) 07.05.Dz (Control systems) 05.45.Gg (Control of chaos, applications of chaos) 03.67.Dd (Quantum cryptography and communication security)