On singular perturbation method of perturbed bifurcation problems (Q1059209)
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scientific article; zbMATH DE number 3903116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On singular perturbation method of perturbed bifurcation problems |
scientific article; zbMATH DE number 3903116 |
Statements
On singular perturbation method of perturbed bifurcation problems (English)
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1984
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The perturbed bifurcation problem for the equation \(F(y,\lambda,\delta)=0\), where \(F(0,0,0)=0\), \(F'_ y(0,0,0)=0\), is considered by a new technique presented by the authors, which is based on the method of strained coordinates. A uniformly valid asymptotic expansion of the solution is obtained, and some examples are considered. This new technique can be applied to study more general problems.
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singular perturbation method
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Newton's polygon
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perturbed bifurcation
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asymptotic expansion
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