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International Conference on Numerical Analysis and Its Applications

NAA 2012: Numerical Analysis and Its Applications pp 190–197Cite as

Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8236))

Abstract

Critical regimes in the long Josephson junction (LJJ) are studied within the frame of a model accounting the second harmonic in the current-phase relation (CPR). Numerical approach is shown to provide a good agreement with analytic results. Numerical results are presented to demonstrate the availabilities and advantages of the numerical scheme for investigation of bifurcations and properties of the magnetic flux distributions in dependence on the sign and value of the second harmonic in CPR.

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References

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Author information

Authors and Affiliations

  1. FMI, University of Plovdiv, Plovdiv, 4003, Bulgaria

    Pavlina Atanasova

  2. Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia

    Elena Zemlyanaya

Authors
  1. Pavlina Atanasova
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  2. Elena Zemlyanaya
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technlogies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl25A, 1113, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Pázm\’{a}ny P\’{e}ter s\’{e}t\’{a}ny 1/C,, Eötvös Loránd University, 1117, Budapest, Hungary

    István Faragó

  3. University of Rousse, 8 Studentska Str.,, 7017, Rousse, Bulgaria

    Lubin Vulkov

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Atanasova, P., Zemlyanaya, E. (2013). Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-41515-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41514-2

  • Online ISBN: 978-3-642-41515-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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