Completely symmetric centers (Q1775405)
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scientific article; zbMATH DE number 2164203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completely symmetric centers |
scientific article; zbMATH DE number 2164203 |
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Completely symmetric centers (English)
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3 May 2005
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A phase portrait of a vector field on a plane is called completely symmetric if it is invariant with respect to the group consisting of four involutions \(i_1\), \(i_2\), \(i_1i_2\), id. The present paper is devoted to the classification of completely symmetric centers defined by germs of vector fields with a nilpotent linear approximation and by germs of vector fields with 2-jet and generic 3-jet.
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involution
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symmetric center
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reversible vector field
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