A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode

Keith O'Donoghue; Michael Peter Kennedy; Peadar Forbes

doi:10.1109/ECCTD.2005.1522998

A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode

Keith O'Donoghue
, Michael Peter Kennedy
, Peadar Forbes

School of Engineering and Architecture

Research output: Chapter in Book/Report/Conference proceedings › Chapter › peer-review

Abstract

The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times that of the original Chua's oscillator.

Original language	English
Title of host publication	Proceedings of the 2005 European Conference on Circuit Theory and Design
Pages	83-86
Number of pages	4
DOIs	https://doi.org/10.1109/ECCTD.2005.1522998
Publication status	Published - 2005
Event	2005 European Conference on Circuit Theory and Design - Cork, Ireland Duration: 28 Aug 2005 → 2 Sep 2005

Publication series

Name	Proceedings of the 2005 European Conference on Circuit Theory and Design
Volume	2

Conference

Conference	2005 European Conference on Circuit Theory and Design
Country/Territory	Ireland
City	Cork
Period	28/08/05 → 2/09/05

Access to Document

10.1109/ECCTD.2005.1522998

Cite this

O'Donoghue, K., Kennedy, M. P., & Forbes, P. (2005). A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode. In Proceedings of the 2005 European Conference on Circuit Theory and Design (pp. 83-86). Article 1522998 (Proceedings of the 2005 European Conference on Circuit Theory and Design; Vol. 2). https://doi.org/10.1109/ECCTD.2005.1522998

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title = "A fast and simple implementation of Chua's oscillator using a {"}cubic-like{"} Chua diode",

abstract = "The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times that of the original Chua's oscillator.",

author = "Keith O'Donoghue and Kennedy, \{Michael Peter\} and Peadar Forbes",

year = "2005",

doi = "10.1109/ECCTD.2005.1522998",

language = "English",

isbn = "0780390660",

series = "Proceedings of the 2005 European Conference on Circuit Theory and Design",

pages = "83--86",

booktitle = "Proceedings of the 2005 European Conference on Circuit Theory and Design",

note = "2005 European Conference on Circuit Theory and Design ; Conference date: 28-08-2005 Through 02-09-2005",

}

O'Donoghue, K, Kennedy, MP & Forbes, P 2005, A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode. in Proceedings of the 2005 European Conference on Circuit Theory and Design., 1522998, Proceedings of the 2005 European Conference on Circuit Theory and Design, vol. 2, pp. 83-86, 2005 European Conference on Circuit Theory and Design, Cork, Ireland, 28/08/05. https://doi.org/10.1109/ECCTD.2005.1522998

A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode. / O'Donoghue, Keith; Kennedy, Michael Peter; Forbes, Peadar.
Proceedings of the 2005 European Conference on Circuit Theory and Design. 2005. p. 83-86 1522998 (Proceedings of the 2005 European Conference on Circuit Theory and Design; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedings › Chapter › peer-review

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AU - Forbes, Peadar

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N2 - The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times that of the original Chua's oscillator.

AB - The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times that of the original Chua's oscillator.

UR - https://www.scopus.com/pages/publications/33749045707

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SN - 9780780390669

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SP - 83

EP - 86

BT - Proceedings of the 2005 European Conference on Circuit Theory and Design

T2 - 2005 European Conference on Circuit Theory and Design

Y2 - 28 August 2005 through 2 September 2005

ER -

A fast and simple implementation of Chua's oscillator using a "cubic-like" Chua diode

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