Characteristic analysis of fractional-order 4D hyperchaotic memristive circuit
type: Item
instance of: scholarly article
title: Characteristic analysis of fractional-order 4D hyperchaotic memristive circuit
zbMATH Open document ID: 1426.34018
DOI: 10.1155/2017/2313768
author: Jun Mou
author: Kehui Sun
author: Huihai Wang
author: Jingya Ruan
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Dynamical behaviors of the 4D hyperchaotic memristive circuit are analyzed with the system parameter. Based on the definitions of fractional-order differential and Adomian decomposition algorithm, the numerical solution of fractional-order 4D hyperchaotic memristive circuit is investigated. The distribution of stable and unstable regions of the fractional-order 4D hyperchaotic memristive circuit is determined, and dynamical characteristics are studied by phase portraits, Lyapunov exponents spectrum, and bifurcation diagram. Complexities are calculated by employing the spectral entropy (SE) algorithm and \(C_0\) algorithm. Complexity results are consistent with that of the bifurcation diagrams, and this means that complexity can also reflect the dynamic characteristics of a chaotic system. Results of this paper provide a theoretical and experimental basis for the application of fractional-order 4D hyperchaotic memristive circuit in the field of encryption and secure communication.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 6971854
Wikidata QID: Q59147389
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2313768
OpenAlex ID: W2729457708
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description: scientific article; zbMATH DE number 6971854