Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies

DOI10.1090/S0025-5718-99-01052-2zbMath0918.65039OpenAlexW2006513320MaRDI QIDQ4240582

Klaus Böhmer, Vladimir Janovský, Willy Govaerts

Publication date: 28 April 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01052-2

zbMATH Keywords

Newton-like methodsymmetry breaking bifurcationimperfect bifurcation diagramsgeneralized Lyapunov- Schmidt reductionnonlinear degeneracy

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (4)

Applications of SAGBI-bases in dynamics ⋮ Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks ⋮ Optimal order error estimates for finite element approximations of a bifurcation function ⋮ Analysis of pattern formation using numerical continuation.

Cites Work

• Unnamed Item
• Singularities and groups in bifurcation theory. Volume I
• Computational methods for bifurcation problems with symmetries - with special attention to steady state and Hopf bifurcation points
• Singularities and groups in bifurcation theory. Volume II
• On a numerical Lyapunov-Schmidt method for operator equations
• Automatic classification of normal forms
• On a Reduction Process for Nonlinear Equations

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