Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2748

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

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.