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Behavioral effects of a four-wing attractor with circuit realization: a cryptographic perspective on immersion
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2020-11-13 , DOI: 10.1088/1572-9494/abb7d1
Najeeb Alam Khan 1 , Muhammad Ali Qureshi 2 , Tooba Hameed 1 , Saeed Akbar 1 , Saif Ullah 3
Affiliation  

In this paper, we propose an innovative chaotic system, combining fractional derivative and sine-hyperbolic nonlinearity with circuit execution. The study of this system is conducted via an analog circuit simulator, using two anti-parallel semiconductor diodes to provide hyperbolic sine nonlinearity, and to function as operational amplifiers. The multi-stability of the system is also enhanced with the help of multi-equilibrium points for distinct real orders of system. The system explores the generation of a four-wing attractor in different phases, both numerically and electronically. By changing the input parameters of the system, different graphs are generated for current flow in state, phase, and space, to confirm the precision of the fractional order derivatives. A reasonable simulation shows that the deliberate circuit provides effective chaos in terms of speed and accuracy, which is comensurate with the numerical simulation. This nonlinear chaotic behavior is utilized to encrypt sound (.wav), images (.jpg), and animated (.gif) data which are a major requirement for the security of communication systems. The proposed circuit performs chaos and cryptographic tasks with high-effective analog computation, and constitutes a novel approach to this area of research.



中文翻译:

具有电路实现的四翼吸引子的行为效应:浸入的密码学视角

在本文中,我们提出了一种创新的混沌系统,将分数阶导数和正弦双曲非线性与电路执行相结合。该系统的研究是通过模拟电路模拟器进行的,使用两个反并联的半导体二极管提供双曲正弦非线性,并用作运算放大器。系统的不同实阶数的多平衡点也增强了系统的多重稳定性。该系统以数字和电子方式探索了不同阶段四翼吸引子的生成。通过改变系统的输入参数,生成不同的状态、相位和空间的电流图,以确认分数阶导数的精度。合理的模拟表明,故意电路在速度和精度方面提供了有效的混沌,这与数值模拟相称。这种非线性混沌行为用于加密声音 (.wav)、图像 (.jpg) 和动画 (.gif) 数据,这些数据是通信系统安全的主要要求。所提出的电路通过高效的模拟计算来执行混沌和加密任务,并构成了该研究领域的一种新方法。

更新日期:2020-11-13
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