A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-10-10 DOI:10.1016/j.chaos.2024.115585

Tingkai Zhao, Xu Sun, Zhenyi Fan, Baoxiang Du

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Abstract

A new two-parameter controllable multi-scroll Hamiltonian conservative hyperchaotic system is proposed in this paper. By utilizing an improved nested cosine-piecewise linear (COS-PWL) saturation function in combination with a 4D Hamiltonian conservative system, a 4D Hamiltonian conservative hyperchaotic system that can regulate multi-scroll according to two parameters is proposed. Compared with the nested Sine-PWL function, the system can produce hyperchaos. And the control parameter is more than just the saturation value

E

, the gain

p

is more sensitive to the wider control range of the system’s multi-scroll. The effect of the variation of the saturation value

E

and gain

p

of the control parameters on the phase trajectories of the multi-scroll is consistent with the behavior of the Lyapunov exponents (LEs) and bifurcations. Finally, we successfully constructed the system via the DSP hardware platform, demonstrating its practicality.

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具有改进嵌套 COS-PWL 功能的新型双参数可控多卷 4D 哈密顿保守超混沌系统

本文提出了一种新型双参数可控多卷哈密顿保守超混沌系统。通过利用改进的嵌套余弦-片线性（COS-PWL）饱和函数与四维哈密顿保守系统相结合，提出了一种可根据两个参数调节多卷的四维哈密顿保守超混沌系统。与嵌套 Sine-PWL 函数相比，该系统可以产生超混沌。而且控制参数不仅仅是饱和值 E，增益 p 对系统的多辊控制范围更广，更加敏感。控制参数的饱和值 E 和增益 p 的变化对多辊相位轨迹的影响与李雅普诺夫指数（LE）和分岔的行为一致。最后，我们通过 DSP 硬件平台成功构建了该系统，证明了其实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.