A Chaotic Oscillator Based on HP Memristor Model

A Chaotic Oscillator Based on HP Memristor Model

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 os...

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Main Authors: Guangyi Wang, Mingzhang Cui, Bozhen Cai, Xiaoyuan Wang, Tiling Hu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/561901
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spelling doaj-70f72324b6064fd08560345ee52dfb172020-11-24T23:05:06ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/561901561901A Chaotic Oscillator Based on HP Memristor ModelGuangyi Wang0Mingzhang Cui1Bozhen Cai2Xiaoyuan Wang3Tiling Hu4Key Laboratory of RF Circuits and Systems, Ministry of Education of China, Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaKey Laboratory of RF Circuits and Systems, Ministry of Education of China, Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaKey Laboratory of RF Circuits and Systems, Ministry of Education of China, Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaKey Laboratory of RF Circuits and Systems, Ministry of Education of China, Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaKey Laboratory of RF Circuits and Systems, Ministry of Education of China, Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaThis 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.http://dx.doi.org/10.1155/2015/561901
collection DOAJ
language English
format Article
sources DOAJ
author Guangyi Wang
Mingzhang Cui
Bozhen Cai
Xiaoyuan Wang
Tiling Hu
spellingShingle Guangyi Wang
Mingzhang Cui
Bozhen Cai
Xiaoyuan Wang
Tiling Hu
A Chaotic Oscillator Based on HP Memristor Model
Mathematical Problems in Engineering
author_facet Guangyi Wang
Mingzhang Cui
Bozhen Cai
Xiaoyuan Wang
Tiling Hu
author_sort Guangyi Wang
title A Chaotic Oscillator Based on HP Memristor Model
title_short A Chaotic Oscillator Based on HP Memristor Model
title_full A Chaotic Oscillator Based on HP Memristor Model
title_fullStr A Chaotic Oscillator Based on HP Memristor Model
title_full_unstemmed A Chaotic Oscillator Based on HP Memristor Model
title_sort chaotic oscillator based on hp memristor model
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description 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.
url http://dx.doi.org/10.1155/2015/561901
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