An application to bifurcation problems of cusps in Banach spaces (Q1176213)
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scientific article; zbMATH DE number 13619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application to bifurcation problems of cusps in Banach spaces |
scientific article; zbMATH DE number 13619 |
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An application to bifurcation problems of cusps in Banach spaces (English)
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25 June 1992
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The bifurcations of nonlinear equations in Banach spaces are investigated using singularity theory. An augmented system is constructed, which is assumed to have a cusp point. By projecting the equations onto a one- dimensional space small solutions of the original system are constructed. The method is applied to three bifurcation problems, in particular to Bernard's problem.
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bifurcations of nonlinear equations in Banach spaces
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singularity theory
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cusp point
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Bernard's problem
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