Global bifurcation structure of a one-dimensional Ginzburg–Landau model

DOI10.1063/1.2012087zbMath1111.58016OpenAlexW2000611487MaRDI QIDQ3438603

Shoji Yotsutani, Satoshi Kosugi, Yoshihisa Morita

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2012087

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

• A semilinear parabolic system arising in the theory of superconductivity
• Bifurcation and stability of periodic traveling waves for a reaction- diffusion system
• Asymptotics for thin superconducting rings
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• A complete bifurcation diagram of the Ginzburg-Landau equation with periodic boundary conditions
• Bifurcation analysis of the Eckhaus instability
• Bifurcation Analysis for Phase Transitions in Superconducting Rings with Nonuniform Thickness
• The bifurcation structure of a thin superconducting loop swith small variations in its thickness

This page was built for publication: Global bifurcation structure of a one-dimensional Ginzburg–Landau model