This article is cited in 5 papers

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

P. Kh. Atanasova^a, T. L. Boyadzhiev^a, S. N. Dimova<sup>b

a</sup> Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
^b Sofia University, Sofia, 1164, Bulgaria

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.

UDC: 519.634

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:4, 666–679

Bibliographic databases:

• 
• 
•