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Polynomial differential system with degenerate infinity - MaRDI portal

Polynomial differential system with degenerate infinity (Q2717968)

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scientific article; zbMATH DE number 1606115
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English
Polynomial differential system with degenerate infinity
scientific article; zbMATH DE number 1606115

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    3 February 2002
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    \(n\)-dimensional polynomial differential system
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    Poincaré transformation
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    critical point at infinity
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    Polynomial differential system with degenerate infinity (English)
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    The author shows the distribution of critical points at infinity for \(n\)-dimensional polynomial differential systems and gives a condition under which such a system is degenerate at infinity. He also considers the quadratic systems with degenerate infinity and obtains some similar properties for \(2\)-dimensional quadratic systems.
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