论文标题

使用0-1测试和三个状态测试对一维混沌图的行为进行有效分析

An Efficient Analyses of the Behavior of One Dimensional Chaotic Maps using 0-1 Test and Three State Test

论文作者

Muthu, Joan S., Paul, Aditya Jyoti, Murali, P.

论文摘要

在本文中,使用0-1测试(3ST)对标准逻辑图,逻辑帐篷系统(LTS),Logistic-Sine System(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)(LSS)的行为进行了严格分析。在这项工作中,已经证明了混乱行为的强度并不统一。通过广泛的实验和分析,已经确定了LTS,LSS和TSS的强大和弱混沌区域。这将使研究人员使用这些地图,可以更好地选择控制参数作为钥匙值,以进行更强的加密。此外,本文是加密系统研究中更强大测试实践的先驱,因为仅Lyapunov指数被证明是对地图混乱性质的真实表示。

In this paper, a rigorous analysis of the behavior of the standard logistic map, Logistic Tent system (LTS), Logistic-Sine system (LSS) and Tent-Sine system (TSS) is performed using 0-1 test and three state test (3ST). In this work, it has been proved that the strength of the chaotic behavior is not uniform. Through extensive experiment and analysis, the strong and weak chaotic regions of LTS, LSS and TSS have been identified. This would enable researchers using these maps, to have better choices of control parameters as key values, for stronger encryption. In addition, this paper serves as a precursor to stronger testing practices in cryptosystem research, as Lyapunov exponent alone has been shown to fail as a true representation of the chaotic nature of a map.

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