Fractional-order Sprott K chaotic system and its application to biometric iris image encryption

Area of Science:

• Chaos theory
• Cryptography
• Biometrics

Background:

• Fractional-order (FO) chaotic systems offer superior complexity compared to integer-order systems.
• This increased complexity enhances security in image cryptosystems against various attacks.
• FO chaotic systems are promising for advanced encryption applications.

Purpose of the Study:

• To investigate the dynamical characteristics of the fractional-order Sprott K chaotic system.
• To utilize the FO Sprott K system for biometric iris image encryption.
• To evaluate the security and effectiveness of the proposed encryption design.

Main Methods:

• Analysis of dynamical characteristics using phase planes, bifurcation diagrams, and Lyapunov exponential spectrums.
• Numerical studies to confirm chaotic behavior at a fractional order of 0.9.
• Implementation of a biometric iris image encryption scheme based on the FO Sprott K system.

Main Results:

• The FO Sprott K system exhibits chaotic behavior at order 0.9, confirmed by numerical studies.
• The proposed encryption design successfully achieved secure transmission of biometric iris images.
• Statistical and attack analyses validated the security of the encryption scheme.

Conclusions:

• The fractional-order Sprott K chaotic system is a viable tool for enhancing security in image cryptosystems.
• The proposed encryption design demonstrates high effectiveness for secure biometric iris image transmission.
• FO chaotic systems hold significant potential for future chaos-based encryption applications.