Memcapacitor model and its application in a chaotic oscillator.

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Title: Memcapacitor model and its application in a chaotic oscillator.
Authors: Guang-Yi Wang1,2 wanggyi@163.com, Bo-Zhen Cai2, Pei-Pei Jin2, Ti-Ling Hu2
Source: Chinese Physics B. Jan2016, Vol. 25 Issue 1, p1-1. 1p.
Subjects: MOS memory circuits, Chaos theory, Digital signal processing, Lyapunov exponents, Bifurcation theory, National Institute of Standards & Technology (U.S.), Electric oscillators
Abstract: A memcapacitor is a new type of memory capacitor. Before the advent of practical memcapacitor, the prospective studies on its models and potential applications are of importance. For this purpose, we establish a mathematical memcapacitor model and a corresponding circuit model. As a potential application, based on the model, a memcapacitor oscillator is designed, with its basic dynamic characteristics analyzed theoretically and experimentally. Some circuit variables such as charge, flux, and integral of charge, which are difficult to measure, are observed and measured via simulations and experiments. Analysis results show that besides the typical period-doubling bifurcations and period-3 windows, sustained chaos with constant Lyapunov exponents occurs. Moreover, this oscillator also exhibits abrupt chaos and some novel bifurcations. In addition, based on the digital signal processing (DSP) technology, a scheme of digitally realizing this memcapacitor oscillator is provided. Then the statistical properties of the chaotic sequences generated from the oscillator are tested by using the test suit of the National Institute of Standards and Technology (NIST). The tested randomness definitely reaches the standards of NIST, and is better than that of the well-known Lorenz system. [ABSTRACT FROM AUTHOR]
Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Memcapacitor model and its application in a chaotic oscillator.
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  Data: <searchLink fieldCode="AR" term="%22Guang-Yi+Wang%22">Guang-Yi Wang</searchLink><relatesTo>1,2</relatesTo><i> wanggyi@163.com</i><br /><searchLink fieldCode="AR" term="%22Bo-Zhen+Cai%22">Bo-Zhen Cai</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Pei-Pei+Jin%22">Pei-Pei Jin</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Ti-Ling+Hu%22">Ti-Ling Hu</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+B%22">Chinese Physics B</searchLink>. Jan2016, Vol. 25 Issue 1, p1-1. 1p.
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  Data: <searchLink fieldCode="DE" term="%22MOS+memory+circuits%22">MOS memory circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Chaos+theory%22">Chaos theory</searchLink><br /><searchLink fieldCode="DE" term="%22Digital+signal+processing%22">Digital signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Bifurcation+theory%22">Bifurcation theory</searchLink><br /><searchLink fieldCode="DE" term="%22National+Institute+of+Standards+%26+Technology+%28U%2ES%2E%29%22">National Institute of Standards & Technology (U.S.)</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+oscillators%22">Electric oscillators</searchLink>
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  Label: Abstract
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  Data: A memcapacitor is a new type of memory capacitor. Before the advent of practical memcapacitor, the prospective studies on its models and potential applications are of importance. For this purpose, we establish a mathematical memcapacitor model and a corresponding circuit model. As a potential application, based on the model, a memcapacitor oscillator is designed, with its basic dynamic characteristics analyzed theoretically and experimentally. Some circuit variables such as charge, flux, and integral of charge, which are difficult to measure, are observed and measured via simulations and experiments. Analysis results show that besides the typical period-doubling bifurcations and period-3 windows, sustained chaos with constant Lyapunov exponents occurs. Moreover, this oscillator also exhibits abrupt chaos and some novel bifurcations. In addition, based on the digital signal processing (DSP) technology, a scheme of digitally realizing this memcapacitor oscillator is provided. Then the statistical properties of the chaotic sequences generated from the oscillator are tested by using the test suit of the National Institute of Standards and Technology (NIST). The tested randomness definitely reaches the standards of NIST, and is better than that of the well-known Lorenz system. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1088/1674-1056/25/1/010503
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      – Code: eng
        Text: English
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      – SubjectFull: MOS memory circuits
        Type: general
      – SubjectFull: Chaos theory
        Type: general
      – SubjectFull: Digital signal processing
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      – SubjectFull: Lyapunov exponents
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      – SubjectFull: Bifurcation theory
        Type: general
      – SubjectFull: National Institute of Standards & Technology (U.S.)
        Type: general
      – SubjectFull: Electric oscillators
        Type: general
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      – TitleFull: Memcapacitor model and its application in a chaotic oscillator.
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            NameFull: Guang-Yi Wang
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            NameFull: Bo-Zhen Cai
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              Text: Jan2016
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              Y: 2016
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