Generic bifurcation and symmetry with an application to the Von Kármán equations

DOI10.1017/S0308210500010568zbMath0401.47029OpenAlexW2030776807MaRDI QIDQ4185383

André Vanderbauwhede

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500010568

zbMATH Keywords

BifurcationThom's Transversality TheoremBuckling Problem for a Rectangular PlateCusp-Like ManifoldEquations Having Additional Symmetry

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Symmetry and equivariance in nonlinear elastostatics. I, An abstract setting for the study of the Hopf bifurcation

Cites Work

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• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions