Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

doi:10.1088/1674-1056/ac4a71

中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70505-070505.doi: 10.1088/1674-1056/ac4a71

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

Sheng-Hao Jia(贾生浩), Yu-Xia Li(李玉霞)^†, Qing-Yu Shi(石擎宇), and Xia Huang(黄霞)

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

收稿日期:2021-11-06 修回日期:2021-12-22 接受日期:2022-01-12 出版日期:2022-06-09 发布日期:2022-06-09
通讯作者: Yu-Xia Li E-mail:yuxiali2004@sdust.edu.cn
基金资助:
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.

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

Sheng-Hao Jia(贾生浩), Yu-Xia Li(李玉霞)^†, Qing-Yu Shi(石擎宇), and Xia Huang(黄霞)

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Received:2021-11-06 Revised:2021-12-22 Accepted:2022-01-12 Online:2022-06-09 Published:2022-06-09
Contact: Yu-Xia Li E-mail:yuxiali2004@sdust.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: multi-scroll hyperchaotic attractor, memristor, FPGA

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.

Key words: multi-scroll hyperchaotic attractor, memristor, FPGA

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

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[J]. 中国物理B, 2022, 31(7): 70505-070505.

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[J]. Chin. Phys. B, 2022, 31(7): 70505-070505.

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Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

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