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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical models and computer experiment
Numerical investigation of a bifurcation problem with free boundaries arising from the physics of josephson junctions
T. L. Boyadzhieva, M. D. Todorovb a Sofia University St. Kliment Ohridski, Faculty of Mathematics and Computer Science
b Technical University of Sofia
Abstract:
A direct method for calculating the minimal length of “one-dimensionaf” long homogeneous
or inhomogeneous Josephson junction in which the specific distribution of the magnetic flux
retains its stability is proposed. Since the length of the junction is a variable quantity, the
corresponding nonlinear spectral problem as a problem with free boundaries is interpreted.
The obtained results give us warranty to consider as “long”, every Josephson junction in
which there exists at least one nontrivial stable distribution of the magnetic flux. If the
junction is inhomogeneous there is an optimal width of the inhomogeinity for which the
minimal junction length providing a stable soliton becomes minimal for fixed values of the
all other parameters.
Received: 18.02.1999
Citation:
T. L. Boyadzhiev, M. D. Todorov, “Numerical investigation of a bifurcation problem with free boundaries arising from the physics of josephson junctions”, Matem. Mod., 12:4 (2000), 61–72
Linking options:
https://www.mathnet.ru/eng/mm859 https://www.mathnet.ru/eng/mm/v12/i4/p61
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