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Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Authors :
Fei Yu
Li Liu
Shuai Qian
Lixiang Li
Yuanyuan Huang
Changqiong Shi
Shuo Cai
Xianming Wu
Sichun Du
Qiuzhen Wan
Source :
Complexity, Vol 2020 (2020)
Publication Year :
2020
Publisher :
Hindawi-Wiley, 2020.

Abstract

Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.

Details

Language :
English
ISSN :
10762787 and 10990526
Volume :
2020
Database :
Directory of Open Access Journals
Journal :
Complexity
Publication Type :
Academic Journal
Accession number :
edsdoj.1a854256ad014e99a6a2dbc40a24eddf
Document Type :
article
Full Text :
https://doi.org/10.1155/2020/8034196