Computation and Stability of Fluxons in a Singularly Perturbed Sine-Gordon Model of the Josephson Junction

DOI10.1137/S0036139992233938zbMath0808.34064OpenAlexW2162423966MaRDI QIDQ4310865

M. Gregory Forest, Brian J. Miller, N. Anders Petersson, David L. Brown

Publication date: 20 November 1994

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139992233938

zbMATH Keywords

numerical continuationheteroclinic orbitturning pointbifurcation diagramnumerical simulationsfinite difference approximationlinearized stabilitysolitary wave solutionsGalilean invariancenumerical stability analysisfluxonsJosephson tunnel junctionsmagnetic flux quantanumerical boundary value solversingularly perturbed sine-Gordon equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Finite element simulations of window Josephson junctions ⋮ Stability of traveling waves in a driven Frenkel-Kontorova model ⋮ Kinks and rotations in long Josephson junctions ⋮ On kink-dynamics of the perturbed sine-Gordon equation

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