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Chordal quadratic systems - MaRDI portal

Chordal quadratic systems (Q1086728)

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scientific article; zbMATH DE number 3985679
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English
Chordal quadratic systems
scientific article; zbMATH DE number 3985679

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    Chordal quadratic systems (English)
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    1986
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    The paper is concerned with a chordal quadratic system \(dx/dt=P(x,y)\), (1) \(dy/dt=Q(x,y)\), namely a two-dimensional autonomous system with polynomial right-hand sides without finite singularities. The authors establish necessary and sufficient conditions for a quadratic system to be chordal and determine all possible phase portraits for such systems.
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    Poincaré sphere
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    chordal quadratic system
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    two-dimensional autonomous system
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    phase portraits
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