Classification of cubic parameterized homogeneous vector fields (Q698401)
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scientific article; zbMATH DE number 1802947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of cubic parameterized homogeneous vector fields |
scientific article; zbMATH DE number 1802947 |
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Classification of cubic parameterized homogeneous vector fields (English)
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29 September 2002
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Cubic homogeneous vector fields with six parameters on the plane are studied. A classification of their phase portraits near the origin is given. A classical result of \textit{F. Takens} [Publ. Math., Inst. Hautes Étud. Sci. 43, 47-100 (1973; Zbl 0279.58009)] for cubic homogeneous vector fields with four parameters is extended.
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cubic homogeneous vector field
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phase portrait
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critical point
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invariant line
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