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A New Six-Term 3D Unified Chaotic System
Iranian Journal of Science and Technology, Transactions of Electrical Engineering ( IF 2.4 ) Pub Date : 2020-02-10 , DOI: 10.1007/s40998-020-00325-5
Engin Can , Uğur Erkin Kocamaz , Yılmaz Uyaroğlu

In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan–Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition.

中文翻译:

一个新的六项 3D 统一混沌系统

在这项研究中,统一了四种不同的 3D 五项混沌流,并引入了具有三个非线性的新型六项 3D 统一混沌系统。首先,通过电子电路实现理论系统,然后对所提出的统一混沌系统的基本动力学特性进行数值和解析分析,即对初始条件的敏感性、平衡点、特征值、Kaplan-Yorke 维数、耗散性、Lyapunov指数和分叉图。调查结果清楚地表明,这是一个新的统一混沌系统,值得进一步详细研究。
更新日期:2020-02-10
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