Analytic integrability inside a family of degenerate centers (Q282025)
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scientific article; zbMATH DE number 6579465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic integrability inside a family of degenerate centers |
scientific article; zbMATH DE number 6579465 |
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Analytic integrability inside a family of degenerate centers (English)
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11 May 2016
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nonlinear differential systems
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integrability problem
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degenerate center problem
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The authors study the formal analytic integrability near the origin of the family NEWLINE\[NEWLINE\begin{aligned} & \dot{x}=-y(x^2+y^2)+q.h.h.o.t.,\\ & \dot{y}=x(x^2+y^2)+q.h.h.o.t,\end{aligned}NEWLINE\]NEWLINE where the abbreviation stands for ``quasi-homogeneous higher-order terms''.
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