An integer-order memristive system with two- to four-scroll chaotic attractors and its fractional-order version with a coexisting chaotic attractor
type: Item
instance of: scholarly article
title: An integer-order memristive system with two- to four-scroll chaotic attractors and its fractional-order version with a coexisting chaotic attractor
zbMATH Open document ID: 1405.37041
DOI: 10.1155/2018/4970152
author: Ping Zhou
author: Meihua Ke
published in: Complexity
publication date: 2018-12-18T00:00:00Z
review text: Summary: First, based on a linear passive capacitor \(C\), a linear passive inductor \(L\), an active-charge-controlled memristor, and a fourth-degree polynomial function determined by charge, an integer-order memristive system is suggested. The proposed integer-order memristive system can generate two-scroll, three-scroll, and four-scroll chaotic attractors. The complex dynamics behaviors are investigated numerically. The Lyapunov exponent spectrum with respect to linear passive inductor \(L\) and the two-scroll, three-scroll, and four-scroll chaotic attractors are yielded by numerical calculation. Second, based on the integer-order memristive chaotic system with a four-scroll attractor, a fractional-order version memristive system is suggested. The complex dynamics behaviors of its fractional-order version are studied numerically. The largest Lyapunov exponent spectrum with respect to fractional-order \(p\) is yielded. The coexisting two kinds of three-scroll chaotic attractors and the coexisting three-scroll and four-scroll chaotic attractors can be found in its fractional-order version.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6995063
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4970152
OpenAlex ID: W2885522625
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description: scientific article; zbMATH DE number 6995063