Abstract：
Fractional-order (FO) chaotic systems exhibit random sequences of significantly greater complexity when compared to integer-order systems. This feature makes FO chaotic systems more secure against various attacks in image cryptosystems. In this study, the dynamical characteristics of the FO Sprott K chaotic system are thoroughly investigated by phase planes, bifurcation diagrams, and Lyapunov exponential spectrums to be utilized in biometric iris image encryption. It is proven with the numerical studies the Sprott K system demonstrates chaotic behaviour when the order of the system is selected as 0.9. Afterward, the introduced FO Sprott K chaotic system-based biometric iris image encryption design is carried out in the study. According to the results of the statistical and attack analyses of the encryption design, the secure transmission of biometric iris images is successful using the proposed encryption design. Thus, the FO Sprott K chaotic system can be employed effectively in chaos-based encryption applications.
摘要：
与整数阶系统相比，分数阶（FO）混沌系统表现出明显更复杂的随机序列。此功能使FO混沌系统更加安全，可以抵抗图像密码系统中的各种攻击。在这项研究中,通过相平面深入研究了FOSprottK混沌系统的动力学特性，分岔图,和Lyapunov指数谱将用于生物特征虹膜图像加密。数值研究证明，当系统阶数选择为0.9时，SprottK系统表现出混沌行为。之后,研究中引入了基于FOSprottK混沌系统的生物特征虹膜图像加密设计。根据加密设计的统计和攻击分析结果,使用所提出的加密设计，生物特征虹膜图像的安全传输是成功的。因此，FOSprottK混沌系统可以有效地应用于基于混沌的加密应用中。
