Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3 (Q878498)
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scientific article; zbMATH DE number 5146740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3 |
scientific article; zbMATH DE number 5146740 |
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Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3 (English)
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26 April 2007
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All planar polynomial systems \[ \dot{\mathbf x}={\mathbf P}({\mathbf x}), \quad {\mathbf x}\in{\mathbb C}^2 \] of weight-homogeneous degree three are classified into six types. Among them, all systems having a polynomial first integral are selected.
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polynomial first integral
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weight-homogeneous polynomial system
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Kowalevskaya exponents
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