A chaotic oscillator based on HP memristor model
type: Item
instance of: scholarly article
title: A chaotic oscillator based on HP memristor model
zbMATH Open document ID: 1395.94389
DOI: 10.1155/2015/561901
author: Mingzhang Cui
author: Bozhen Cai
author: Tiling Hu
author: Guang Yi Wang
author: Xiaoyuan Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper proposes a simple autonomous memristor-based oscillator for generating periodic signals. Applying an external sinusoidal excitation to the autonomous system, a nonautonomous oscillator is obtained, which contains HP memristor model and four linear circuit elements. This memristor-based oscillator can generate periodic, chaotic, and hyperchaotic signals under the periodic excitation and an appropriate set of circuit parameters. It also shows that the system exhibits alternately a hidden attractor with no equilibrium and a self-excited attractor with a line equilibrium as time goes on. Furthermore, some specialties including burst chaos, irregular periodic bifurcations, and nonintermittence chaos of the circuit are found by theoretical analysis and numerical simulations. Finally, a discrete model for the HP memristor is given and the main statistical properties of this memristor-based oscillator are verified via DSP chip experiments and NIST (National Institute of Standards and Technology) tests.
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6926647
Wikidata QID: Q59119310
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/561901
OpenAlex ID: W1824278489
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description: scientific article; zbMATH DE number 6926647