Simplified memristive Lorenz oscillator

Yicheng Jiang; Chunbiao Li; Zuohua Liu; Tengfei Lei; Guanrong Chen

doi:10.1109/TCSII.2022.3169013

Simplified memristive Lorenz oscillator

Yicheng Jiang, Chunbiao Li^*, Zuohua Liu, Tengfei Lei, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

25 Citations (Scopus)

Abstract

Memristor can be designed based on the topological structure of a dynamical system. Lorenz system provides such a structure for memristor building, in which one of the system variables can be regarded as the internal variable of the mathematical model. Based on the strong load capacity of AD633, two such capacitors are coupled directly to construct a simplified chaotic circuit. The memristor parameter can rescale the amplitudes of the system variables directly. Although the memristive Lorenz system has similar properties of bifurcation and multistability to the original one, it shows more opportunities for memristor-based information processing.

Original language	English
Pages (from-to)	3344-3348
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	69
Issue number	7
Online published	20 Apr 2022
DOIs	https://doi.org/10.1109/TCSII.2022.3169013
Publication status	Published - Jul 2022

Research Keywords

Bifurcation
Chaos
Hysteresis
Integrated circuit modeling
Lorenz oscillator
Memristors
Merging
multistability
Oscillators
simplified circuit.

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title = "Simplified memristive Lorenz oscillator",

abstract = "Memristor can be designed based on the topological structure of a dynamical system. Lorenz system provides such a structure for memristor building, in which one of the system variables can be regarded as the internal variable of the mathematical model. Based on the strong load capacity of AD633, two such capacitors are coupled directly to construct a simplified chaotic circuit. The memristor parameter can rescale the amplitudes of the system variables directly. Although the memristive Lorenz system has similar properties of bifurcation and multistability to the original one, it shows more opportunities for memristor-based information processing.",

keywords = "Bifurcation, Chaos, Hysteresis, Integrated circuit modeling, Lorenz oscillator, Memristors, Merging, multistability, Oscillators, simplified circuit.",

author = "Yicheng Jiang and Chunbiao Li and Zuohua Liu and Tengfei Lei and Guanrong Chen",

year = "2022",

month = jul,

doi = "10.1109/TCSII.2022.3169013",

language = "English",

volume = "69",

pages = "3344--3348",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

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TY - JOUR

T1 - Simplified memristive Lorenz oscillator

AU - Jiang, Yicheng

AU - Li, Chunbiao

AU - Liu, Zuohua

AU - Lei, Tengfei

AU - Chen, Guanrong

PY - 2022/7

Y1 - 2022/7

N2 - Memristor can be designed based on the topological structure of a dynamical system. Lorenz system provides such a structure for memristor building, in which one of the system variables can be regarded as the internal variable of the mathematical model. Based on the strong load capacity of AD633, two such capacitors are coupled directly to construct a simplified chaotic circuit. The memristor parameter can rescale the amplitudes of the system variables directly. Although the memristive Lorenz system has similar properties of bifurcation and multistability to the original one, it shows more opportunities for memristor-based information processing.

AB - Memristor can be designed based on the topological structure of a dynamical system. Lorenz system provides such a structure for memristor building, in which one of the system variables can be regarded as the internal variable of the mathematical model. Based on the strong load capacity of AD633, two such capacitors are coupled directly to construct a simplified chaotic circuit. The memristor parameter can rescale the amplitudes of the system variables directly. Although the memristive Lorenz system has similar properties of bifurcation and multistability to the original one, it shows more opportunities for memristor-based information processing.

KW - Bifurcation

KW - Chaos

KW - Hysteresis

KW - Integrated circuit modeling

KW - Lorenz oscillator

KW - Memristors

KW - Merging

KW - multistability

KW - Oscillators

KW - simplified circuit.

UR - http://www.scopus.com/inward/record.url?scp=85128677584&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85128677584&origin=recordpage

U2 - 10.1109/TCSII.2022.3169013

DO - 10.1109/TCSII.2022.3169013

M3 - RGC 21 - Publication in refereed journal

SN - 1549-7747

VL - 69

SP - 3344

EP - 3348

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 7

ER -

Simplified memristive Lorenz oscillator

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