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Coexistence of infinite attractors in a fractional-order chaotic system with two nonlinear functions and its DSP implementation
Integration ( IF 1.9 ) Pub Date : 2021-06-06 , DOI: 10.1016/j.vlsi.2021.05.010
Xintong Han , Jun Mou , Li Xiong , Chenguang Ma , Tianming Liu , Yinghong Cao

In this paper, a new five-dimensional fractional-order chaotic system based on two nonlinear functions is constructed. The rich dynamical behaviors of the system are analyzed by phase diagram, bifurcation diagram and Lyapunov exponents spectrum. In addition, the complexity of the fractional-order system is analyzed through Spectral Entropy (SE) and Permutation Entropy (PE) algorithms. Meanwhile the phenomenon of coexisting infinite attractors is analyzed. Of particular concern is that the phenomenon of multi-state transition and intermittent oscillation chaos is found in this new chaotic system. Furthermore, the system is implemented on the DSP platform. To the best of the knowledge, these rich dynamical characteristics and complicated phenomena are of great reference value in chaotic image encryption and other fields.



中文翻译:

具有两个非线性函数的分数阶混沌系统中无限吸引子的共存及其DSP实现

本文构建了一个新的基于两个非线性函数的五维分数阶混沌系统。通过相图、分岔图和李雅普诺夫指数谱分析了系统丰富的动力学行为。此外,分数阶系统的复杂性通过谱熵(SE)和置换熵(PE)算法进行分析。同时分析了无限吸引子共存的现象。特别值得关注的是,在这个新的混沌系统中发现了多态跃迁和间歇振荡混沌现象。此外,该系统是在DSP平台上实现的。据了解,这些丰富的动态特性和复杂的现象在混沌图像加密等领域具有重要的参考价值。

更新日期:2021-06-10
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