Polynomial differential system with degenerate infinity (Q2717968)
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scientific article; zbMATH DE number 1606115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial differential system with degenerate infinity |
scientific article; zbMATH DE number 1606115 |
Statements
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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