Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves (Q6568970)
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scientific article; zbMATH DE number 7878132
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves |
scientific article; zbMATH DE number 7878132 |
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Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves (English)
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8 July 2024
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A class of cubic polynomial differential systems having an invariant ellipse and an invariant straight line is considered in this paper. The authors classify the phase portraits and prove that such systems have exactly 43 topologically different phase portraits in the Poincaré disc, including two portraits with an invariant ellipse as a limit cycle.
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Poincaré disc
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phase portrait
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limit cycle
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cubic polynomial differential system
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invariant ellipse
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invariant straight line
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