Fractional order chaos in Josephson junction

Yoothana Suansook; Kitti Paithoonwattanakij

doi:10.5897/SRE2014.5892

Scientific Research and Essays

Abbreviation: Sci. Res. Essays
Language: English
ISSN: 1992-2248
DOI: 10.5897/SRE
Start Year: 2006
Published Articles: 2768

Full Length Research Paper

Fractional order chaos in Josephson junction

Yoothana Suansook

Yoothana Suansook
Faculty of Engineering, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Ladkrabang, Bangkok, Thailand 10520, Thailand.
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Kitti Paithoonwattanakij

Kitti Paithoonwattanakij
Faculty of Engineering, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Ladkrabang, Bangkok, Thailand 10520, Thailand.
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Article Number - 23A28F347296
Vol.9(17), pp. 785 - 793 , September 2014
https://doi.org/10.5897/SRE2014.5892

Received: 26 March 2014
Accepted: 03 July 2014
Published: 15 September 2014

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

This paper studies the fractional-order chaotic dynamics of Josephson junction based on resistor and capacitor shunted junction (RCSJ) model proposed by W. C. Stewart and D. E. McCumber. The fractional-order numerical integration is carried out with modified trapezoidal rule. Fractional-order chaotic behaviors of the model are explained by bifurcation diagram. Numerical results confirm that there exists chaos at fractional-order in this model.

Key words: Fractional calculus, Josephson junction, chaotic dynamical system, numerical method.

This article is published under the terms of the Creative Commons Attribution License 4.0

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