Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators

Abdul Hafiz Ibne Talukdar; Ahmed G. Radwan; Khaled N. Salama

doi:10.1109/ICM.2010.5696140

Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators

Abdul Hafiz Ibne Talukdar, Ahmed G. Radwan, Khaled N. Salama

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

20 Scopus citations

Abstract

Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics. © 2009 IEEE.

Original language	English (US)
Title of host publication	2010 International Conference on Microelectronics
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	288-291
Number of pages	4
ISBN (Print)	9781612841496
DOIs	https://doi.org/10.1109/ICM.2010.5696140
State	Published - Jan 21 2011

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10.1109/ICM.2010.5696140

https://repository.kaust.edu.sa/bitstream/10754/236092/1/TimedomainoscillatingpolesStabilityredefinedinMemristorbasedWien-oscillator.pdf

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title = "Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators",

abstract = "Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics. {\textcopyright} 2009 IEEE.",

author = "Talukdar, {Abdul Hafiz Ibne} and Radwan, {Ahmed G.} and Salama, {Khaled N.}",

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doi = "10.1109/ICM.2010.5696140",

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T1 - Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators

AU - Talukdar, Abdul Hafiz Ibne

AU - Radwan, Ahmed G.

AU - Salama, Khaled N.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2011/1/21

Y1 - 2011/1/21

N2 - Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics. © 2009 IEEE.

AB - Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics. © 2009 IEEE.

UR - http://hdl.handle.net/10754/236092

UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=5696140

UR - http://www.scopus.com/inward/record.url?scp=79951684092&partnerID=8YFLogxK

U2 - 10.1109/ICM.2010.5696140

DO - 10.1109/ICM.2010.5696140

M3 - Conference contribution

SN - 9781612841496

SP - 288

EP - 291

BT - 2010 International Conference on Microelectronics

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators

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