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

Published online by Cambridge University Press:  14 November 2011

André L. Vanderbauwhede
André L. Vanderbauwhede
Affiliation:
Instituut voor Theoretische Mechanika, Rijksuniversiteit Gent, Belgium Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, R.I., U.S.A.
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Synopsis

A generic bifurcation theory is developed which is somewhat different from the approach in [4]. We put special emphasis on equations satisfying additional symmetry properties and on the non-generic bifurcation sets arising in this context. We apply our results on the von Kármán equations for the buckling of a rectangular plate under a compressive thrust and a normal load.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 3-4 , 1978 , pp. 211 - 235
Copyright
Copyright © Royal Society of Edinburgh 1978

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