Medical Images Encryption Based on Adaptive-Robust Multi-Mode Synchronization of Chen Hyper-Chaotic Systems

Area of Science:

• Cybersecurity
• Applied Mathematics
• Medical Imaging

Background:

• Secure communication is vital for telemedicine, requiring robust encryption methods.
• Hyper-chaotic systems offer complex dynamics suitable for encryption.
• Multi-mode synchronization of chaotic systems is challenging due to uncertainty and disturbances.

Purpose of the Study:

• To present a novel medical image encryption method based on multi-mode synchronization of hyper-chaotic systems.
• To design an adaptive-robust controller for synchronized chaotic systems with uncertain parameters and disturbances.
• To demonstrate the effectiveness of the proposed method for secure medical image transmission in telemedicine.

Main Methods:

• Design of an adaptive-robust controller for multi-mode synchronized chaotic systems with variable and unknown parameters.
• Utilizing Lyapunov's method to prove the convergence of synchronization and parameter estimation errors.
• Development of new update laws for time-varying parameters and estimation of disturbance/uncertainty bounds.
• Equivalence proof for two distinct multi-mode synchronization configurations (main-response and circular).

Main Results:

• Convergence of synchronization error and parameter estimation error to zero was achieved.
• The proposed controller guarantees system stability under bounded disturbances and uncertainties.
• Statistical analyses confirmed the effective performance of the encryption method on medical and benchmark images.

Conclusions:

• The presented multi-mode synchronization method provides a secure and effective approach for medical image encryption.
• The adaptive-robust controller successfully handles system uncertainties and disturbances.
• The technique is well-suited for enhancing the security of medical data in telemedicine applications.