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Abstract：
This paper describes a novel 4-D hyperchaotic system with a high level of complexity. It can produce chaotic, hyperchaotic, periodic, and quasi-periodic behaviors by adjusting its parameters. The study showed that the new system experienced the famous dynamical property of multistability. It can exhibit different coexisting attractors for the same parameter values. Furthermore, by using Lyapunov exponents, bifurcation diagram, equilibrium points\' stability, dissipativity, and phase plots, the study was able to investigate the dynamical features of the proposed system. The mathematical model\'s feasibility is proved by applying the corresponding electronic circuit using Multisim software. The study also reveals an interesting and special feature of the system\'s offset boosting control. Therefore, the new 4D system is very desirable to use in Chaos-based applications due to its hyperchaotic behavior, multistability, offset boosting property, and easily implementable electronic circuit. Then, the study presents a voice encryption scheme that employs the characteristics of the proposed hyperchaotic system to encrypt a voice signal. The new encryption system is implemented on MATLAB (R2023) to simulate the research findings. Numerous tests are used to measure the efficiency of the developed encryption system against attacks, such as histogram analysis, percent residual deviation (PRD), signal-to-noise ratio (SNR), correlation coefficient (cc), key sensitivity, and NIST randomness test. The simulation findings show how effective our proposed encryption system is and how resilient it is to different cryptographic assaults.
摘要：
本文描述了一个新的具有高度复杂性的4-D超混沌系统。它可以产生混乱，超混沌,周期性，和准周期行为通过调整其参数。研究表明，新系统具有著名的多稳定性动力学特性。对于相同的参数值，它可以表现出不同的共存吸引子。此外，通过使用Lyapunov指数，分岔图,平衡点稳定，耗散性，和相位图，该研究能够调查拟议系统的动力学特征。通过Multisim软件应用相应的电子电路,证明了数学模型的可行性。该研究还揭示了系统的偏移增强控制的有趣和特殊功能。因此,由于其超混沌行为，新的4D系统非常希望在基于混沌的应用中使用，多稳定性，偏移提升属性，和易于实现的电子电路。然后，该研究提出了一种语音加密方案，该方案利用所提出的超混沌系统的特性对语音信号进行加密。在MATLAB（R2023）上实现了新的加密系统，以模拟研究结果。许多测试被用来衡量开发的加密系统抵御攻击的效率，如直方图分析，百分比剩余偏差(PRD)，信噪比(SNR)，相关系数(cc)，密钥灵敏度,和NIST随机性检验。仿真结果表明，我们提出的加密系统的有效性以及它对不同密码攻击的弹性。
