Algebraic and topological classification of the homogeneous cubic vector fields in the plane (Q923190)
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scientific article; zbMATH DE number 4169130
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic and topological classification of the homogeneous cubic vector fields in the plane |
scientific article; zbMATH DE number 4169130 |
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Algebraic and topological classification of the homogeneous cubic vector fields in the plane (English)
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1990
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By using the classification of fourth order binary forms in the real domain, an algebraic classification of systems \(x'=P(x,y)\), \(y'=Q(x,y)\), P, Q homogeneous polynomials of degree 3 is obtained. After a study of phase portraits for the general case when P and Q have the same degree and no common factor, all possible phase portraits are obtained for degree three.
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fourth order binary forms
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phase portraits
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