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Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit

机译:分数阶4D超混沌忆阻电路的特性分析

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摘要

Dynamical behaviors of the 4D hyperchaotic memristive circuit are analyzed with the system parameter. Based on the definitions of fractional-order differential and Adomian decomposition algorithm, the numerical solution of fractional-order 4D hyperchaotic memristive circuit is investigated. The distribution of stable and unstable regions of the fractional-order 4D hyperchaotic memristive circuit is determined, and dynamical characteristics are studied by phase portraits, Lyapunov exponents spectrum, and bifurcation diagram. Complexities are calculated by employing the spectral entropy (SE) algorithm and C-0 algorithm. Complexity results are consistent with that of the bifurcation diagrams, and this means that complexity can also reflect the dynamic characteristics of a chaotic system. Results of this paper provide a theoretical and experimental basis for the application of fractional-order 4D hyperchaotic memristive circuit in the field of encryption and secure communication.
机译:利用系统参数分析了4D超混沌忆阻电路的动力学行为。根据分数阶微分和Adomian分解算法的定义,研究了分数阶4D超混沌忆阻电路的数值解。确定了分数阶4D超混沌忆阻电路的稳定和不稳定区域的分布,并通过相图,Lyapunov指数谱和分叉图研究了动力学特性。复杂度是通过使用频谱熵(SE)算法和C-0算法来计算的。复杂度结果与分叉图一致,这意味着复杂度还可以反映混沌系统的动态特性。本文的结果为分数阶4D超混沌忆阻电路在加密和安全通信领域的应用提供了理论和实验基础。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|2313768.1-2313768.13|共13页
  • 作者单位

    Cent S Univ, Sch Phys & Elect, Changsha 410083, Hunan, Peoples R China;

    Cent S Univ, Sch Phys & Elect, Changsha 410083, Hunan, Peoples R China|Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China;

    Cent S Univ, Sch Phys & Elect, Changsha 410083, Hunan, Peoples R China;

    Cent S Univ, Sch Phys & Elect, Changsha 410083, Hunan, Peoples R China;

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