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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 700–714 (Mi zvmmf489)  
This article is cited in 5 scientific papers (total in 5 papers)

Numerical simulation of critical dependences for symmetric two-layered Josephson junctions

P. Kh. Atanasovaa, T. L. Boyadzhieva, S. N. Dimovab

a Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
b Sofia University, Sofia, 1164, Bulgaria
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Abstract: Partial critical dependences of the form current-magnetic field in a two-layered symmetric Josephson junction are modeled. A numerical experiment shows that, for the zero interaction coefficient between the layers of the junction, jumps of the critical currents corresponding to different distributions of the magnetic fluxes in the layers may appear on the critical curves. This fact allows a mathematical interpretation of the results of some recent experimental results for two-layered junctions as a consequence of discontinuities of partial critical curves.
Key words: two-layered Josephson junctions, system of sine-Gordon equations, Sturm–Liouville problem, partial stability and bifurcations of static solutions, nonlinear spectral problems, critical curves, continuous variant of Newton's method, finite-element method.
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 666–679
DOI: https://doi.org/10.1134/S0965542506040129
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: P. Kh. Atanasova, T. L. Boyadzhiev, S. N. Dimova, “Numerical simulation of critical dependences for symmetric two-layered Josephson junctions”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 700–714; Comput. Math. Math. Phys., 46:4 (2006), 666–679
Citation in format AMSBIB
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\by P.~Kh.~Atanasova, T.~L.~Boyadzhiev, S.~N.~Dimova
\paper Numerical simulation of critical dependences for symmetric two-layered Josephson junctions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 700--714
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2260358}
\zmath{https://zbmath.org/?q=an:05200937}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 666--679
\crossref{https://doi.org/10.1134/S0965542506040129}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746218907}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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