Dynamical analysis, synchronization, circuit design, and secure communication of a novel hyperchaotic system
type: Item
instance of: scholarly article
title: Dynamical analysis, synchronization, circuit design, and secure communication of a novel hyperchaotic system
zbMATH Open document ID: 1380.93128
DOI: 10.1155/2017/4962739
author: Li Xiong
author: Zhenlai Liu
author: Xinguo Zhang
published in: Complexity
publication date: 2018-02-01T00:00:00Z
review text: Summary: This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the Lyapunov exponents of the new hyperchaotic system, are all investigated analytically and numerically. Then, an active control method is derived to achieve global chaotic synchronization of the novel hyperchaotic system through making the synchronization error system asymptotically stable at the origin based on Lyapunov stability theory. Next, the proposed novel hyperchaotic system is applied to construct another new hyperchaotic system with circuit deformation and design a new hyperchaotic secure communication circuit. Furthermore, the implementation of two novel electronic circuits of the proposed hyperchaotic systems is presented, examined, and realized using physical components. A good qualitative agreement is shown between the simulations and the experimental results around 500 kHz and below 1 MHz.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6833382
zbMATH Keywords: fourth-order hyperchaotic system
zbMATH Keywords: linear feedback control
zbMATH Keywords: Lorenz-like chaotic circuit
zbMATH Keywords: basic dynamical behavior
zbMATH Keywords: divergence
zbMATH Keywords: eigenvalues
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Lyapunov stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4962739
OpenAlex ID: W2770551065
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description: scientific article; zbMATH DE number 6833382