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- W2000611487 abstract "We consider an equation of a simplified Ginzburg–Landau model of superconductivity in a one-dimensional ring. The equation for a complex order parameter ψ has two real parameters μ and λ related to the magnitude of an applied magnetic field and the Ginzburg–Landau parameter, respectively. The purpose of this paper is to reveal a global bifurcation structure for the equation in the parameter space (μ,λ). In particular we show that there exist modulating amplitude solutions which bifurcate from constant amplitude solutions, and how the bifurcation branches of such solutions continue or disappear as μ varies. We also determine the minimizer of the energy functional." @default.
- W2000611487 created "2016-06-24" @default.
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- W2000611487 date "2005-09-01" @default.
- W2000611487 modified "2023-10-16" @default.
- W2000611487 title "Global bifurcation structure of a one-dimensional Ginzburg–Landau model" @default.
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- W2000611487 doi "https://doi.org/10.1063/1.2012087" @default.
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