TY - JOUR
T1 - Fluxon Centering in Josephson Junctions with Exponentially Varying Width
AU - E. G. Semerdjieva & M. D. Todorov
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 204
EP - 213
PY - 2018
DA - 2018/02
SN - 2
DO - http://doi.org/10.4208/eajam.230512.010712a
UR - https://global-sci.org/intro/article_detail/eajam/10873.html
KW - Fluxon, stability, bifurcation, critical curve, centering magnetic field, centering current.
AB - <p style="text-align: justify;">Nonlinear eigenvalue problems for fluxons in long Josephson junctions with
exponentially varying width are treated. Appropriate algorithms are created and realized
numerically. The results obtained concern the stability of the fluxons, the centering
both magnetic field and current for the magnetic flux quanta in the Josephson junction
as well as the ascertaining of the impact of the geometric and physical parameters
on these quantities. Each static solution of the nonlinear boundary-value problem is
identified as stable or unstable in dependence on the eigenvalues of associated Sturm-Liouville
problem. The above compound problem is linearized and solved by using of
the reliable Continuous analogue of Newton method.</p>