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Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral - MaRDI portal

Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral (Q640275)

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scientific article; zbMATH DE number 5959799
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English
Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral
scientific article; zbMATH DE number 5959799

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    Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral (English)
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    18 October 2011
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    The authors classify all cubic polynomial differential systems having a quadratic rational first integral, i.e., they characterize all the global phase portraits of such systems with all their orbits contained in conics.
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    quadratic vector field
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    integrability
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    rational first integral
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    phase portrait
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