Analytic nilpotent centers as limits of nondegenerate centers revisited (Q276846)
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scientific article; zbMATH DE number 6577321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic nilpotent centers as limits of nondegenerate centers revisited |
scientific article; zbMATH DE number 6577321 |
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Analytic nilpotent centers as limits of nondegenerate centers revisited (English)
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4 May 2016
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nilpotent center
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Poincaré-Liapunov constants
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The work is concerned with the study of a class of differential systems of the form NEWLINENEWLINE\[NEWLINE\dot{x}=y+F_1(x,y;\lambda),\;\dot{y}=F_2(x,y;\lambda)NEWLINE\]NEWLINE NEWLINEhaving a nilpotent singularity at the origin. The authors prove in the paper that the Poincaré-Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers.
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