Regularization and computation of a bifurcation problem with corank 2

DOI10.1007/BF02241220zbMath0683.65042OpenAlexW140281460MaRDI QIDQ1824990

Klaus Böhmer, Zhen Mei

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241220

zbMATH Keywords

discretizationnumerical examplesBanach spacebifurcation pointextended systemNewton- like methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ A direct method for the characterization and computation of bifurcation points with corank 2 ⋮ On a numerical Lyapunov-Schmidt method for operator equations

Cites Work

• Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Resolving singular nonlinear equations
• On the accurate determination of nonisolated solutions of nonlinear equations
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• The Computation of Symmetry-Breaking Bifurcation Points
• Eigenvalues of the Laplacian in Two Dimensions
• Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
• A Direct Method for Computing Higher Order Folds
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