Classification of the centers and isochronicity for a class of quartic polynomial differential systems (Q434742)
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scientific article; zbMATH DE number 6056878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of the centers and isochronicity for a class of quartic polynomial differential systems |
scientific article; zbMATH DE number 6056878 |
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Classification of the centers and isochronicity for a class of quartic polynomial differential systems (English)
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16 July 2012
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center
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focus
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Lyapunov constant
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isochronous center
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The authors investigate a class of planar systems of the form NEWLINE\[NEWLINE\dot u = u + P(u,v),\dot v = -v + Q(u,v)NEWLINE\]NEWLINE in a neighborhood of the origin, where \(P\) and \(Q\) are polynomial functions in \(u\) and \(v\) of degree at most four and without constant or linear terms. They give necessary and sufficient conditions for the origin to be a center, and that it be isochronous.
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