Stability and Bifurcations of Magnetic Flux Distributions in Josephson Junctions Described by Double Sine-Gordon Equation

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Abstract

Aim of the work is mathematical modeling of static magnetic flux distributions in long Josephson junctions taking into account the higher harmonics in the Fourier-decomposition of the Josephson current. Basic magnetic flux distributions have been found; their stability in dependence on parameters of model has been investigated. Numerical results have been compared with results of numerical study of traditional model.

About the authors

P Kh Atanasova

Joint Institute for Nuclear Research

Email: poli@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

E V Zemlyanaya

Joint Institute for Nuclear Research

Email: elena@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

T L Boyadjiev

Joint Institute for Nuclear Research

Лаборатория теоретической физики им. Н.Н. Боголюбова; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

Yu M Shukrinov

Joint Institute for Nuclear Research

Email: shukrinv@theor.jinr.ru
Лаборатория теоретической физики им. Н.Н. Боголюбова; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

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