Abstract A novel memristor-based multi-scroll hyperchaotic system is proposed. Based on a voltage-controlled memristor and a modulating sine nonlinear function, a novel method is proposed to generate the multi-scroll hyperchaotic attractors. Firstly, a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear function. Then, a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic system. Thus, a memristor-based multi-scroll hyperchaotic system is generated, and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological structures. Moreover, different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system parameters. The Lyapunov exponents, bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic system. Besides, the field programmable gate array (FPGA) based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried out. The experimental results of the FPGA-based digital circuit are displayed on the oscilloscope.
Received: 06 November 2021
Revised: 22 December 2021
Accepted manuscript online: 12 January 2022
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by the National Natural Sciene Foundation of China (Grant Nos. 61973199 and 61973200) and the Taishan Scholar Project of Shandong Province of China.
Corresponding Authors:
Yu-Xia Li
E-mail: yuxiali2004@sdust.edu.cn
Cite this article:
Sheng-Hao Jia(贾生浩), Yu-Xia Li(李玉霞), Qing-Yu Shi(石擎宇), and Xia Huang(黄霞) Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system 2022 Chin. Phys. B 31 070505
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