Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3 (Q924310)
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scientific article; zbMATH DE number 5275731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3 |
scientific article; zbMATH DE number 5275731 |
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Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3 (English)
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15 May 2008
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The authors study the Andronov-Hopf bifurcation for a class of degenerate singular points of multiplicity \(2n-1\) for a 3-dimensional system of differential equations of first order by averaging theory. It is proved that for a small bifurcation parameter (\(2n-1\)) limit cycles can bifurcate from the origin and under some additional restrictions even \((3n-1)\) ones.
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limit cycles
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Hopf bifurcation
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averaging theory
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