Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System

Fei Yu (), Wuxiong Zhang, Xiaoli Xiao, Wei Yao, Shuo Cai, Jin Zhang, Chunhua Wang and Yi Li
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Fei Yu: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Wuxiong Zhang: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Xiaoli Xiao: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Wei Yao: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Shuo Cai: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Jin Zhang: School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China
Chunhua Wang: College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
Yi Li: Hunan Post & Telecommunication Planning and Designing Institute, No. 236 Yuanda Road, Changsha 410126, China

Mathematics, 2023, vol. 11, issue 3, 1-15

Abstract: In this paper, we first present a simple seven-term 4D hyperchaotic system based on the classical Sprott-C 3D chaotic system. This novel system is inspired by the simple 4D hyperchaotic system based on Sprott-B proposed by A. T. Sheet (2022). We discuss the phenomenon of premature divergence brought about by the improper choice of coupling parameters in that paper and describe the basic properties of the new system with phase diagrams, Lyapunov exponential spectra and bifurcation diagrams. Then, we find that the dynamical behaviors of the system suffer from the limitation of the control parameters and cannot represent the process of motion in detail. To improve the system, we expand the dimensionality and add the control parameters and memristors. A 5D memristive hyperchaotic system with hidden attractors is proposed, and the basic dynamical properties of the system, such as its dissipation, equilibrium point, stability, Lyapunov exponential spectra and bifurcation diagram, are analyzed. Finally, the hardware circuits of the 4D Sprott-C system and the 5D memristive hyperchaotic system were realized by a field programmable gate array (FPGA) and verified by an experiment. The experimental results are consistent with the numerical simulation results obtained in MATLAB, which demonstrates the feasibility and potential of the system.

Keywords: dynamic analysis; 5D memristive hyperchaotic system; Sprott-C system; coexisting attractors; FPGA (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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