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Numerical simulation of critical dependences for symmetric two-layered Josephson junctions
Authors:P. Kh. Atanasova  T. L. Bojadjiev  S. N. Dimova
Affiliation:(1) Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia;(2) 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.
Keywords: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
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