Bifurcations of nonconstant solutions of the Ginzburg-Landau equation

DOI10.1155/2012/560975zbMath1253.35170OpenAlexW2100587149WikidataQ58695528 ScholiaQ58695528MaRDI QIDQ1925391

Norimichi Hirano, Sławomir Rybicki

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/560975

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A short treatise on the equivariant degree theory and its applications
• A remark on global bifurcations of solutions of Ginzburg-Landau equation
• Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems
• Degree for equivariant gradient maps
• Applied equivariant degree. I: An axiomatic approach to primary degree
• Spectral methods in surface superconductivity
• Equivariant bifurcation index
• Transformation groups
• Branching points for a class of variational operators
• Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
• A semilinear Schrödinger equation in the presence of a magnetic field
• Geometric methods in degree theory for equivariant maps
• Periodic solutions of second order Hamiltonian systems bifurcating from infinity
• Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
• Some global results for nonlinear eigenvalue problems
• Some remarks on the Böhme-Berger bifurcation theorem
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• Bifurcation and symmetry-breaking
• Bifurcation and stability of superconductivity
• Symmetries, degree, homotopy indices and asymptotically homogeneous problems
• A degree for S1-equavariant orthogonal maps and its applications to bifurcation theory
• On the Bifurcation and Stability of Periodic Solutions of the Ginzburg--Landau Equations in the Plane
• On the global bifurcation diagram for the one-dimensional Ginzburg–Landau model of superconductivity
• Ginzburg-landau equation and stable steady state solutions in a non-trivial domain

This page was built for publication: Bifurcations of nonconstant solutions of the Ginzburg-Landau equation