Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities (Q894979)
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scientific article; zbMATH DE number 6513455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities |
scientific article; zbMATH DE number 6513455 |
Statements
Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities (English)
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25 November 2015
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The global phase portraits of the differential systems \[ \dot x=-y+ xf(x,y),\quad\dot y= x+ yf(x,y), \] where \(f(x,y)\) is a homogeneous polynomial of degree 3 are classified in the Poincaré disk.
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polynomial vector field
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uniform isochronous center
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phase portrait
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Poincaré disk
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quartic polynomial differential system
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